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Finding the Fourth Proportional to 502,978.90, 754,062.12 and 165,809.11

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Solution

The fourth proportional to 502,978.90, 754,062.12 and 165,809.11 is: 248,579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,978.90 : 754,062.12 = 165,809.11 : x
  2. Step 2: Convert to fraction form
    502,978.90/754,062.12 = 165,809.11/x
  3. Step 3: Cross multiply
    502,978.90x = 754,062.12 × 165,809.11
  4. Step 4: Simplify right side
    502,978.90x = 125,030,369,001.91
  5. Step 5: Solve for x
    x = 125,030,369,001.91/502,978.90
  6. Step 6: Final answer
    x = 248,579.75

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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.