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Finding the Fourth Proportional to 261,715.20, 392,572.80 and 209,227.20

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Solution

The fourth proportional to 261,715.20, 392,572.80 and 209,227.20 is: 313,840.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,715.20 : 392,572.80 = 209,227.20 : x
  2. Step 2: Convert to fraction form
    261,715.20/392,572.80 = 209,227.20/x
  3. Step 3: Cross multiply
    261,715.20x = 392,572.80 × 209,227.20
  4. Step 4: Simplify right side
    261,715.20x = 82,136,907,740.16
  5. Step 5: Solve for x
    x = 82,136,907,740.16/261,715.20
  6. Step 6: Final answer
    x = 313,840.80

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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.