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Finding the Fourth Proportional to 429,394.12, 644,192.32 and 129,877.18

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Solution

The fourth proportional to 429,394.12, 644,192.32 and 129,877.18 is: 194,846.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,394.12 : 644,192.32 = 129,877.18 : x
  2. Step 2: Convert to fraction form
    429,394.12/644,192.32 = 129,877.18/x
  3. Step 3: Cross multiply
    429,394.12x = 644,192.32 × 129,877.18
  4. Step 4: Simplify right side
    429,394.12x = 83,665,881,899.26
  5. Step 5: Solve for x
    x = 83,665,881,899.26/429,394.12
  6. Step 6: Final answer
    x = 194,846.36

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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.