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Finding the Fourth Proportional to 261,646.20, 392,469.30 and 209,158.20

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Solution

The fourth proportional to 261,646.20, 392,469.30 and 209,158.20 is: 313,737.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,646.20 : 392,469.30 = 209,158.20 : x
  2. Step 2: Convert to fraction form
    261,646.20/392,469.30 = 209,158.20/x
  3. Step 3: Cross multiply
    261,646.20x = 392,469.30 × 209,158.20
  4. Step 4: Simplify right side
    261,646.20x = 82,088,172,343.26
  5. Step 5: Solve for x
    x = 82,088,172,343.26/261,646.20
  6. Step 6: Final answer
    x = 313,737.30

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1.5x scale

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.