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Finding the Fourth Proportional to 429,057.66, 643,690.54 and 129,520.34

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Solution

The fourth proportional to 429,057.66, 643,690.54 and 129,520.34 is: 194,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,057.66 : 643,690.54 = 129,520.34 : x
  2. Step 2: Convert to fraction form
    429,057.66/643,690.54 = 129,520.34/x
  3. Step 3: Cross multiply
    429,057.66x = 643,690.54 × 129,520.34
  4. Step 4: Simplify right side
    429,057.66x = 83,371,017,595.58
  5. Step 5: Solve for x
    x = 83,371,017,595.58/429,057.66
  6. Step 6: Final answer
    x = 194,311.92

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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.