Home / 521,461,009,469.74-782,280,626,673.07-214,983,253,184.03

Finding the Fourth Proportional to 521,461,009,469.74, 782,280,626,673.07 and 214,983,253,184.03

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Solution

The fourth proportional to 521,461,009,469.74, 782,280,626,673.07 and 214,983,253,184.03 is: 322,511,618,262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,461,009,469.74 : 782,280,626,673.07 = 214,983,253,184.03 : x
  2. Step 2: Convert to fraction form
    521,461,009,469.74/782,280,626,673.07 = 214,983,253,184.03/x
  3. Step 3: Cross multiply
    521,461,009,469.74x = 782,280,626,673.07 × 214,983,253,184.03
  4. Step 4: Simplify right side
    521,461,009,469.74x = 168,177,234,025,018,241,843,200
  5. Step 5: Solve for x
    x = 168,177,234,025,018,241,843,200/521,461,009,469.74
  6. Step 6: Final answer
    x = 322,511,618,262.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.