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Finding the Fourth Proportional to 429,024.56, 643,541.68 and 129,508

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Solution

The fourth proportional to 429,024.56, 643,541.68 and 129,508 is: 194,263.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,024.56 : 643,541.68 = 129,508 : x
  2. Step 2: Convert to fraction form
    429,024.56/643,541.68 = 129,508/x
  3. Step 3: Cross multiply
    429,024.56x = 643,541.68 × 129,508
  4. Step 4: Simplify right side
    429,024.56x = 83,343,795,893.44
  5. Step 5: Solve for x
    x = 83,343,795,893.44/429,024.56
  6. Step 6: Final answer
    x = 194,263.46

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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.