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Finding the Fourth Proportional to 412,705.64, 569,557.50 and 231,475.70

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Solution

The fourth proportional to 412,705.64, 569,557.50 and 231,475.70 is: 319,449.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,705.64 : 569,557.50 = 231,475.70 : x
  2. Step 2: Convert to fraction form
    412,705.64/569,557.50 = 231,475.70/x
  3. Step 3: Cross multiply
    412,705.64x = 569,557.50 × 231,475.70
  4. Step 4: Simplify right side
    412,705.64x = 131,838,721,002.75
  5. Step 5: Solve for x
    x = 131,838,721,002.75/412,705.64
  6. Step 6: Final answer
    x = 319,449.77

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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.