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Finding the Fourth Proportional to 398,116.53, 597,431.71 and 145,375.86

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Solution

The fourth proportional to 398,116.53, 597,431.71 and 145,375.86 is: 218,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,116.53 : 597,431.71 = 145,375.86 : x
  2. Step 2: Convert to fraction form
    398,116.53/597,431.71 = 145,375.86/x
  3. Step 3: Cross multiply
    398,116.53x = 597,431.71 × 145,375.86
  4. Step 4: Simplify right side
    398,116.53x = 86,852,148,632.52
  5. Step 5: Solve for x
    x = 86,852,148,632.52/398,116.53
  6. Step 6: Final answer
    x = 218,157.60

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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.