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Finding the Fourth Proportional to 292,139.43, 438,209.15 and 70,523.43

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Solution

The fourth proportional to 292,139.43, 438,209.15 and 70,523.43 is: 105,785.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,139.43 : 438,209.15 = 70,523.43 : x
  2. Step 2: Convert to fraction form
    292,139.43/438,209.15 = 70,523.43/x
  3. Step 3: Cross multiply
    292,139.43x = 438,209.15 × 70,523.43
  4. Step 4: Simplify right side
    292,139.43x = 30,904,011,962.77
  5. Step 5: Solve for x
    x = 30,904,011,962.77/292,139.43
  6. Step 6: Final answer
    x = 105,785.15

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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.