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Finding the Fourth Proportional to 408,887.78, 564,265.08 and 227,595.80

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Solution

The fourth proportional to 408,887.78, 564,265.08 and 227,595.80 is: 314,082.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,887.78 : 564,265.08 = 227,595.80 : x
  2. Step 2: Convert to fraction form
    408,887.78/564,265.08 = 227,595.80/x
  3. Step 3: Cross multiply
    408,887.78x = 564,265.08 × 227,595.80
  4. Step 4: Simplify right side
    408,887.78x = 128,424,359,473.34
  5. Step 5: Solve for x
    x = 128,424,359,473.34/408,887.78
  6. Step 6: Final answer
    x = 314,082.17

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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.