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Finding the Fourth Proportional to 412,520.88, 569,151 and 231,207.64

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Solution

The fourth proportional to 412,520.88, 569,151 and 231,207.64 is: 318,994.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,520.88 : 569,151 = 231,207.64 : x
  2. Step 2: Convert to fraction form
    412,520.88/569,151 = 231,207.64/x
  3. Step 3: Cross multiply
    412,520.88x = 569,151 × 231,207.64
  4. Step 4: Simplify right side
    412,520.88x = 131,592,059,513.64
  5. Step 5: Solve for x
    x = 131,592,059,513.64/412,520.88
  6. Step 6: Final answer
    x = 318,994.91

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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.