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Finding the Fourth Proportional to 398,818.64, 598,098.54 and 132,507.66

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Solution

The fourth proportional to 398,818.64, 598,098.54 and 132,507.66 is: 198,718.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,818.64 : 598,098.54 = 132,507.66 : x
  2. Step 2: Convert to fraction form
    398,818.64/598,098.54 = 132,507.66/x
  3. Step 3: Cross multiply
    398,818.64x = 598,098.54 × 132,507.66
  4. Step 4: Simplify right side
    398,818.64x = 79,252,637,984.82
  5. Step 5: Solve for x
    x = 79,252,637,984.82/398,818.64
  6. Step 6: Final answer
    x = 198,718.49

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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.