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Finding the Fourth Proportional to 429,542.10, 644,313.15 and 252,395.10

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Solution

The fourth proportional to 429,542.10, 644,313.15 and 252,395.10 is: 378,592.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,542.10 : 644,313.15 = 252,395.10 : x
  2. Step 2: Convert to fraction form
    429,542.10/644,313.15 = 252,395.10/x
  3. Step 3: Cross multiply
    429,542.10x = 644,313.15 × 252,395.10
  4. Step 4: Simplify right side
    429,542.10x = 162,621,481,925.57
  5. Step 5: Solve for x
    x = 162,621,481,925.57/429,542.10
  6. Step 6: Final answer
    x = 378,592.65

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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.