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Finding the Fourth Proportional to 429,909.29, 644,863.16 and 114,366.20

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Solution

The fourth proportional to 429,909.29, 644,863.16 and 114,366.20 is: 171,549.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,909.29 : 644,863.16 = 114,366.20 : x
  2. Step 2: Convert to fraction form
    429,909.29/644,863.16 = 114,366.20/x
  3. Step 3: Cross multiply
    429,909.29x = 644,863.16 × 114,366.20
  4. Step 4: Simplify right side
    429,909.29x = 73,750,548,557.36
  5. Step 5: Solve for x
    x = 73,750,548,557.36/429,909.29
  6. Step 6: Final answer
    x = 171,549.09

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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.