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Finding the Fourth Proportional to 431,812.86, 648,280.58 and 332,043.12

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Solution

The fourth proportional to 431,812.86, 648,280.58 and 332,043.12 is: 498,496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,812.86 : 648,280.58 = 332,043.12 : x
  2. Step 2: Convert to fraction form
    431,812.86/648,280.58 = 332,043.12/x
  3. Step 3: Cross multiply
    431,812.86x = 648,280.58 × 332,043.12
  4. Step 4: Simplify right side
    431,812.86x = 215,257,106,418.61
  5. Step 5: Solve for x
    x = 215,257,106,418.61/431,812.86
  6. Step 6: Final answer
    x = 498,496.28

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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.