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Finding the Fourth Proportional to 429,788.40, 644,455.80 and 145,381.20

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Solution

The fourth proportional to 429,788.40, 644,455.80 and 145,381.20 is: 217,995.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,788.40 : 644,455.80 = 145,381.20 : x
  2. Step 2: Convert to fraction form
    429,788.40/644,455.80 = 145,381.20/x
  3. Step 3: Cross multiply
    429,788.40x = 644,455.80 × 145,381.20
  4. Step 4: Simplify right side
    429,788.40x = 93,691,757,550.96
  5. Step 5: Solve for x
    x = 93,691,757,550.96/429,788.40
  6. Step 6: Final answer
    x = 217,995.08

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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.