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Finding the Fourth Proportional to 429,648.60, 643,491.18 and 205,166.28

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Solution

The fourth proportional to 429,648.60, 643,491.18 and 205,166.28 is: 307,280.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,648.60 : 643,491.18 = 205,166.28 : x
  2. Step 2: Convert to fraction form
    429,648.60/643,491.18 = 205,166.28/x
  3. Step 3: Cross multiply
    429,648.60x = 643,491.18 × 205,166.28
  4. Step 4: Simplify right side
    429,648.60x = 132,022,691,613.41
  5. Step 5: Solve for x
    x = 132,022,691,613.41/429,648.60
  6. Step 6: Final answer
    x = 307,280.63

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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.