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Finding the Fourth Proportional to 409,911.93, 614,850.45 and 140,064.31

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Solution

The fourth proportional to 409,911.93, 614,850.45 and 140,064.31 is: 210,090.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,911.93 : 614,850.45 = 140,064.31 : x
  2. Step 2: Convert to fraction form
    409,911.93/614,850.45 = 140,064.31/x
  3. Step 3: Cross multiply
    409,911.93x = 614,850.45 × 140,064.31
  4. Step 4: Simplify right side
    409,911.93x = 86,118,604,275.76
  5. Step 5: Solve for x
    x = 86,118,604,275.76/409,911.93
  6. Step 6: Final answer
    x = 210,090.50

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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.