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Finding the Fourth Proportional to 398,158.38, 597,483 and 161,503.11

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Solution

The fourth proportional to 398,158.38, 597,483 and 161,503.11 is: 242,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,158.38 : 597,483 = 161,503.11 : x
  2. Step 2: Convert to fraction form
    398,158.38/597,483 = 161,503.11/x
  3. Step 3: Cross multiply
    398,158.38x = 597,483 × 161,503.11
  4. Step 4: Simplify right side
    398,158.38x = 96,495,362,672.13
  5. Step 5: Solve for x
    x = 96,495,362,672.13/398,158.38
  6. Step 6: Final answer
    x = 242,354.22

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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.