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Finding the Fourth Proportional to 429,225.76, 643,348.87 and 172,894.18

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Solution

The fourth proportional to 429,225.76, 643,348.87 and 172,894.18 is: 259,143.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,225.76 : 643,348.87 = 172,894.18 : x
  2. Step 2: Convert to fraction form
    429,225.76/643,348.87 = 172,894.18/x
  3. Step 3: Cross multiply
    429,225.76x = 643,348.87 × 172,894.18
  4. Step 4: Simplify right side
    429,225.76x = 111,231,275,332.58
  5. Step 5: Solve for x
    x = 111,231,275,332.58/429,225.76
  6. Step 6: Final answer
    x = 259,143.99

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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.