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Finding the Fourth Proportional to 502,516, 754,119.60 and 207,028

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Solution

The fourth proportional to 502,516, 754,119.60 and 207,028 is: 310,684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,516 : 754,119.60 = 207,028 : x
  2. Step 2: Convert to fraction form
    502,516/754,119.60 = 207,028/x
  3. Step 3: Cross multiply
    502,516x = 754,119.60 × 207,028
  4. Step 4: Simplify right side
    502,516x = 156,123,872,548.80
  5. Step 5: Solve for x
    x = 156,123,872,548.80/502,516
  6. Step 6: Final answer
    x = 310,684.38

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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.