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Finding the Fourth Proportional to 429,134.10, 643,712.10 and 129,624.45

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Solution

The fourth proportional to 429,134.10, 643,712.10 and 129,624.45 is: 194,439.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,134.10 : 643,712.10 = 129,624.45 : x
  2. Step 2: Convert to fraction form
    429,134.10/643,712.10 = 129,624.45/x
  3. Step 3: Cross multiply
    429,134.10x = 643,712.10 × 129,624.45
  4. Step 4: Simplify right side
    429,134.10x = 83,440,826,272.72
  5. Step 5: Solve for x
    x = 83,440,826,272.72/429,134.10
  6. Step 6: Final answer
    x = 194,439.98

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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.