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Finding the Fourth Proportional to 412,600.34, 569,390.51 and 231,319.91

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Solution

The fourth proportional to 412,600.34, 569,390.51 and 231,319.91 is: 319,222.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,600.34 : 569,390.51 = 231,319.91 : x
  2. Step 2: Convert to fraction form
    412,600.34/569,390.51 = 231,319.91/x
  3. Step 3: Cross multiply
    412,600.34x = 569,390.51 × 231,319.91
  4. Step 4: Simplify right side
    412,600.34x = 131,711,361,528.05
  5. Step 5: Solve for x
    x = 131,711,361,528.05/412,600.34
  6. Step 6: Final answer
    x = 319,222.62

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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.