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Finding the Fourth Proportional to 288,221.13, 432,042.36 and 98,551.78

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Solution

The fourth proportional to 288,221.13, 432,042.36 and 98,551.78 is: 147,728.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,221.13 : 432,042.36 = 98,551.78 : x
  2. Step 2: Convert to fraction form
    288,221.13/432,042.36 = 98,551.78/x
  3. Step 3: Cross multiply
    288,221.13x = 432,042.36 × 98,551.78
  4. Step 4: Simplify right side
    288,221.13x = 42,578,544,963.53
  5. Step 5: Solve for x
    x = 42,578,544,963.53/288,221.13
  6. Step 6: Final answer
    x = 147,728.74

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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.