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Finding the Fourth Proportional to 509,510.92, 763,215.66 and 298,508.68

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Solution

The fourth proportional to 509,510.92, 763,215.66 and 298,508.68 is: 447,147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,510.92 : 763,215.66 = 298,508.68 : x
  2. Step 2: Convert to fraction form
    509,510.92/763,215.66 = 298,508.68/x
  3. Step 3: Cross multiply
    509,510.92x = 763,215.66 × 298,508.68
  4. Step 4: Simplify right side
    509,510.92x = 227,826,499,221.93
  5. Step 5: Solve for x
    x = 227,826,499,221.93/509,510.92
  6. Step 6: Final answer
    x = 447,147.43

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1.5x scale

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.