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Finding the Fourth Proportional to 402,491.60, 603,731.23 and 102,969.64

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Solution

The fourth proportional to 402,491.60, 603,731.23 and 102,969.64 is: 154,452.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,491.60 : 603,731.23 = 102,969.64 : x
  2. Step 2: Convert to fraction form
    402,491.60/603,731.23 = 102,969.64/x
  3. Step 3: Cross multiply
    402,491.60x = 603,731.23 × 102,969.64
  4. Step 4: Simplify right side
    402,491.60x = 62,165,987,409.86
  5. Step 5: Solve for x
    x = 62,165,987,409.86/402,491.60
  6. Step 6: Final answer
    x = 154,452.88

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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.