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Finding the Fourth Proportional to 261,952.43, 392,931.39 and 209,694.11

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Solution

The fourth proportional to 261,952.43, 392,931.39 and 209,694.11 is: 314,543.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,952.43 : 392,931.39 = 209,694.11 : x
  2. Step 2: Convert to fraction form
    261,952.43/392,931.39 = 209,694.11/x
  3. Step 3: Cross multiply
    261,952.43x = 392,931.39 × 209,694.11
  4. Step 4: Simplify right side
    261,952.43x = 82,395,398,117.11
  5. Step 5: Solve for x
    x = 82,395,398,117.11/261,952.43
  6. Step 6: Final answer
    x = 314,543.36

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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.