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Finding the Fourth Proportional to 429,781.14, 642,881.61 and 397,894.68

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Solution

The fourth proportional to 429,781.14, 642,881.61 and 397,894.68 is: 595,184.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,781.14 : 642,881.61 = 397,894.68 : x
  2. Step 2: Convert to fraction form
    429,781.14/642,881.61 = 397,894.68/x
  3. Step 3: Cross multiply
    429,781.14x = 642,881.61 × 397,894.68
  4. Step 4: Simplify right side
    429,781.14x = 255,799,172,488.84
  5. Step 5: Solve for x
    x = 255,799,172,488.84/429,781.14
  6. Step 6: Final answer
    x = 595,184.73

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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.