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Finding the Fourth Proportional to 398,155.38, 597,478.50 and 161,500.11

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Solution

The fourth proportional to 398,155.38, 597,478.50 and 161,500.11 is: 242,349.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,155.38 : 597,478.50 = 161,500.11 : x
  2. Step 2: Convert to fraction form
    398,155.38/597,478.50 = 161,500.11/x
  3. Step 3: Cross multiply
    398,155.38x = 597,478.50 × 161,500.11
  4. Step 4: Simplify right side
    398,155.38x = 96,492,843,472.64
  5. Step 5: Solve for x
    x = 96,492,843,472.64/398,155.38
  6. Step 6: Final answer
    x = 242,349.72

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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.