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Finding the Fourth Proportional to 429,151.80, 643,787.84 and 129,598.40

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Solution

The fourth proportional to 429,151.80, 643,787.84 and 129,598.40 is: 194,415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,151.80 : 643,787.84 = 129,598.40 : x
  2. Step 2: Convert to fraction form
    429,151.80/643,787.84 = 129,598.40/x
  3. Step 3: Cross multiply
    429,151.80x = 643,787.84 × 129,598.40
  4. Step 4: Simplify right side
    429,151.80x = 83,433,874,003.46
  5. Step 5: Solve for x
    x = 83,433,874,003.46/429,151.80
  6. Step 6: Final answer
    x = 194,415.76

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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.