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Finding the Fourth Proportional to 429,370.83, 644,224.23 and 129,881.64

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Solution

The fourth proportional to 429,370.83, 644,224.23 and 129,881.64 is: 194,873.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,370.83 : 644,224.23 = 129,881.64 : x
  2. Step 2: Convert to fraction form
    429,370.83/644,224.23 = 129,881.64/x
  3. Step 3: Cross multiply
    429,370.83x = 644,224.23 × 129,881.64
  4. Step 4: Simplify right side
    429,370.83x = 83,672,899,520.14
  5. Step 5: Solve for x
    x = 83,672,899,520.14/429,370.83
  6. Step 6: Final answer
    x = 194,873.27

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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.