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Finding the Fourth Proportional to 502,763.08, 754,144.80 and 147,777.16

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Solution

The fourth proportional to 502,763.08, 754,144.80 and 147,777.16 is: 221,665.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,763.08 : 754,144.80 = 147,777.16 : x
  2. Step 2: Convert to fraction form
    502,763.08/754,144.80 = 147,777.16/x
  3. Step 3: Cross multiply
    502,763.08x = 754,144.80 × 147,777.16
  4. Step 4: Simplify right side
    502,763.08x = 111,445,376,772.77
  5. Step 5: Solve for x
    x = 111,445,376,772.77/502,763.08
  6. Step 6: Final answer
    x = 221,665.79

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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.