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Finding the Fourth Proportional to 288,170.76, 432,256.14 and 147,839.88

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Solution

The fourth proportional to 288,170.76, 432,256.14 and 147,839.88 is: 221,759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,170.76 : 432,256.14 = 147,839.88 : x
  2. Step 2: Convert to fraction form
    288,170.76/432,256.14 = 147,839.88/x
  3. Step 3: Cross multiply
    288,170.76x = 432,256.14 × 147,839.88
  4. Step 4: Simplify right side
    288,170.76x = 63,904,695,866.86
  5. Step 5: Solve for x
    x = 63,904,695,866.86/288,170.76
  6. Step 6: Final answer
    x = 221,759.82

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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.