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Finding the Fourth Proportional to 298,471.15, 412,146.19 and 288,819.59

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Solution

The fourth proportional to 298,471.15, 412,146.19 and 288,819.59 is: 398,818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,471.15 : 412,146.19 = 288,819.59 : x
  2. Step 2: Convert to fraction form
    298,471.15/412,146.19 = 288,819.59/x
  3. Step 3: Cross multiply
    298,471.15x = 412,146.19 × 288,819.59
  4. Step 4: Simplify right side
    298,471.15x = 119,035,894,337.91
  5. Step 5: Solve for x
    x = 119,035,894,337.91/298,471.15
  6. Step 6: Final answer
    x = 398,818.76

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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.