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Finding the Fourth Proportional to 431,809.12, 648,274.95 and 332,039.37

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Solution

The fourth proportional to 431,809.12, 648,274.95 and 332,039.37 is: 498,490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,809.12 : 648,274.95 = 332,039.37 : x
  2. Step 2: Convert to fraction form
    431,809.12/648,274.95 = 332,039.37/x
  3. Step 3: Cross multiply
    431,809.12x = 648,274.95 × 332,039.37
  4. Step 4: Simplify right side
    431,809.12x = 215,252,805,984.78
  5. Step 5: Solve for x
    x = 215,252,805,984.78/431,809.12
  6. Step 6: Final answer
    x = 498,490.65

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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.