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Finding the Fourth Proportional to 389,830.92, 584,951.32 and 276,708.76

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Solution

The fourth proportional to 389,830.92, 584,951.32 and 276,708.76 is: 415,208.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,830.92 : 584,951.32 = 276,708.76 : x
  2. Step 2: Convert to fraction form
    389,830.92/584,951.32 = 276,708.76/x
  3. Step 3: Cross multiply
    389,830.92x = 584,951.32 × 276,708.76
  4. Step 4: Simplify right side
    389,830.92x = 161,861,154,417.56
  5. Step 5: Solve for x
    x = 161,861,154,417.56/389,830.92
  6. Step 6: Final answer
    x = 415,208.61

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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.