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Finding the Fourth Proportional to 429,963.38, 645,204.28 and 149,677.46

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Solution

The fourth proportional to 429,963.38, 645,204.28 and 149,677.46 is: 224,606.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,963.38 : 645,204.28 = 149,677.46 : x
  2. Step 2: Convert to fraction form
    429,963.38/645,204.28 = 149,677.46/x
  3. Step 3: Cross multiply
    429,963.38x = 645,204.28 × 149,677.46
  4. Step 4: Simplify right side
    429,963.38x = 96,572,537,811.53
  5. Step 5: Solve for x
    x = 96,572,537,811.53/429,963.38
  6. Step 6: Final answer
    x = 224,606.43

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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.