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Finding the Fourth Proportional to 432,460.64, 648,651.36 and 306,640.64

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Solution

The fourth proportional to 432,460.64, 648,651.36 and 306,640.64 is: 459,932.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,460.64 : 648,651.36 = 306,640.64 : x
  2. Step 2: Convert to fraction form
    432,460.64/648,651.36 = 306,640.64/x
  3. Step 3: Cross multiply
    432,460.64x = 648,651.36 × 306,640.64
  4. Step 4: Simplify right side
    432,460.64x = 198,902,868,167.27
  5. Step 5: Solve for x
    x = 198,902,868,167.27/432,460.64
  6. Step 6: Final answer
    x = 459,932.88

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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.