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Finding the Fourth Proportional to 429,447.40, 644,171.10 and 392,705.80

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Solution

The fourth proportional to 429,447.40, 644,171.10 and 392,705.80 is: 589,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,447.40 : 644,171.10 = 392,705.80 : x
  2. Step 2: Convert to fraction form
    429,447.40/644,171.10 = 392,705.80/x
  3. Step 3: Cross multiply
    429,447.40x = 644,171.10 × 392,705.80
  4. Step 4: Simplify right side
    429,447.40x = 252,969,727,162.38
  5. Step 5: Solve for x
    x = 252,969,727,162.38/429,447.40
  6. Step 6: Final answer
    x = 589,058.70

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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.