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Finding the Fourth Proportional to 432,651.64, 649,384.64 and 219,572.60

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Solution

The fourth proportional to 432,651.64, 649,384.64 and 219,572.60 is: 329,565.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,651.64 : 649,384.64 = 219,572.60 : x
  2. Step 2: Convert to fraction form
    432,651.64/649,384.64 = 219,572.60/x
  3. Step 3: Cross multiply
    432,651.64x = 649,384.64 × 219,572.60
  4. Step 4: Simplify right side
    432,651.64x = 142,587,073,804.86
  5. Step 5: Solve for x
    x = 142,587,073,804.86/432,651.64
  6. Step 6: Final answer
    x = 329,565.55

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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.