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Finding the Fourth Proportional to 398,708.46, 597,865.77 and 145,798.29

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Solution

The fourth proportional to 398,708.46, 597,865.77 and 145,798.29 is: 218,625.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,708.46 : 597,865.77 = 145,798.29 : x
  2. Step 2: Convert to fraction form
    398,708.46/597,865.77 = 145,798.29/x
  3. Step 3: Cross multiply
    398,708.46x = 597,865.77 × 145,798.29
  4. Step 4: Simplify right side
    398,708.46x = 87,167,806,915.53
  5. Step 5: Solve for x
    x = 87,167,806,915.53/398,708.46
  6. Step 6: Final answer
    x = 218,625.43

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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.