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Finding the Fourth Proportional to 585,761.56, 877,639.20 and 319,708.78

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Solution

The fourth proportional to 585,761.56, 877,639.20 and 319,708.78 is: 479,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,761.56 : 877,639.20 = 319,708.78 : x
  2. Step 2: Convert to fraction form
    585,761.56/877,639.20 = 319,708.78/x
  3. Step 3: Cross multiply
    585,761.56x = 877,639.20 × 319,708.78
  4. Step 4: Simplify right side
    585,761.56x = 280,588,957,912.18
  5. Step 5: Solve for x
    x = 280,588,957,912.18/585,761.56
  6. Step 6: Final answer
    x = 479,015.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.