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Finding the Fourth Proportional to 297,090, 409,984.20 and 162,951.12

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Solution

The fourth proportional to 297,090, 409,984.20 and 162,951.12 is: 224,872.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,090 : 409,984.20 = 162,951.12 : x
  2. Step 2: Convert to fraction form
    297,090/409,984.20 = 162,951.12/x
  3. Step 3: Cross multiply
    297,090x = 409,984.20 × 162,951.12
  4. Step 4: Simplify right side
    297,090x = 66,807,384,572.30
  5. Step 5: Solve for x
    x = 66,807,384,572.30/297,090
  6. Step 6: Final answer
    x = 224,872.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.