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Finding the Fourth Proportional to 261,659.40, 392,489.10 and 172,429.80

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Solution

The fourth proportional to 261,659.40, 392,489.10 and 172,429.80 is: 258,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,659.40 : 392,489.10 = 172,429.80 : x
  2. Step 2: Convert to fraction form
    261,659.40/392,489.10 = 172,429.80/x
  3. Step 3: Cross multiply
    261,659.40x = 392,489.10 × 172,429.80
  4. Step 4: Simplify right side
    261,659.40x = 67,676,817,015.18
  5. Step 5: Solve for x
    x = 67,676,817,015.18/261,659.40
  6. Step 6: Final answer
    x = 258,644.70

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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.