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Finding the Fourth Proportional to 347,712.90, 521,569.35 and 288,663.90

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Solution

The fourth proportional to 347,712.90, 521,569.35 and 288,663.90 is: 432,995.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,712.90 : 521,569.35 = 288,663.90 : x
  2. Step 2: Convert to fraction form
    347,712.90/521,569.35 = 288,663.90/x
  3. Step 3: Cross multiply
    347,712.90x = 521,569.35 × 288,663.90
  4. Step 4: Simplify right side
    347,712.90x = 150,558,242,691.47
  5. Step 5: Solve for x
    x = 150,558,242,691.47/347,712.90
  6. Step 6: Final answer
    x = 432,995.85

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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.