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Finding the Fourth Proportional to 458,386.20, 687,579.30 and 418,987.80

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Solution

The fourth proportional to 458,386.20, 687,579.30 and 418,987.80 is: 628,481.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,386.20 : 687,579.30 = 418,987.80 : x
  2. Step 2: Convert to fraction form
    458,386.20/687,579.30 = 418,987.80/x
  3. Step 3: Cross multiply
    458,386.20x = 687,579.30 × 418,987.80
  4. Step 4: Simplify right side
    458,386.20x = 288,087,338,232.54
  5. Step 5: Solve for x
    x = 288,087,338,232.54/458,386.20
  6. Step 6: Final answer
    x = 628,481.70

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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.