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Finding the Fourth Proportional to 429,445.06, 644,084.47 and 129,855.40

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Solution

The fourth proportional to 429,445.06, 644,084.47 and 129,855.40 is: 194,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,445.06 : 644,084.47 = 129,855.40 : x
  2. Step 2: Convert to fraction form
    429,445.06/644,084.47 = 129,855.40/x
  3. Step 3: Cross multiply
    429,445.06x = 644,084.47 × 129,855.40
  4. Step 4: Simplify right side
    429,445.06x = 83,637,846,485.64
  5. Step 5: Solve for x
    x = 83,637,846,485.64/429,445.06
  6. Step 6: Final answer
    x = 194,757.97

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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.