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Finding the Fourth Proportional to 429,348.60, 644,470.02 and 317,155.50

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Solution

The fourth proportional to 429,348.60, 644,470.02 and 317,155.50 is: 476,063.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,348.60 : 644,470.02 = 317,155.50 : x
  2. Step 2: Convert to fraction form
    429,348.60/644,470.02 = 317,155.50/x
  3. Step 3: Cross multiply
    429,348.60x = 644,470.02 × 317,155.50
  4. Step 4: Simplify right side
    429,348.60x = 204,397,211,428.11
  5. Step 5: Solve for x
    x = 204,397,211,428.11/429,348.60
  6. Step 6: Final answer
    x = 476,063.53

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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.