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Finding the Fourth Proportional to 477,857.66, 659,409.57 and 284,254.70

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Solution

The fourth proportional to 477,857.66, 659,409.57 and 284,254.70 is: 392,251.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,857.66 : 659,409.57 = 284,254.70 : x
  2. Step 2: Convert to fraction form
    477,857.66/659,409.57 = 284,254.70/x
  3. Step 3: Cross multiply
    477,857.66x = 659,409.57 × 284,254.70
  4. Step 4: Simplify right side
    477,857.66x = 187,440,266,200.43
  5. Step 5: Solve for x
    x = 187,440,266,200.43/477,857.66
  6. Step 6: Final answer
    x = 392,251.26

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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.