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Finding the Fourth Proportional to 398,156.13, 597,479.63 and 161,500.86

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Solution

The fourth proportional to 398,156.13, 597,479.63 and 161,500.86 is: 242,350.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,156.13 : 597,479.63 = 161,500.86 : x
  2. Step 2: Convert to fraction form
    398,156.13/597,479.63 = 161,500.86/x
  3. Step 3: Cross multiply
    398,156.13x = 597,479.63 × 161,500.86
  4. Step 4: Simplify right side
    398,156.13x = 96,493,473,269.98
  5. Step 5: Solve for x
    x = 96,493,473,269.98/398,156.13
  6. Step 6: Final answer
    x = 242,350.84

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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.