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Finding the Fourth Proportional to 513,912.64, 709,275.44 and 296,079.83

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Solution

The fourth proportional to 513,912.64, 709,275.44 and 296,079.83 is: 408,633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,912.64 : 709,275.44 = 296,079.83 : x
  2. Step 2: Convert to fraction form
    513,912.64/709,275.44 = 296,079.83/x
  3. Step 3: Cross multiply
    513,912.64x = 709,275.44 × 296,079.83
  4. Step 4: Simplify right side
    513,912.64x = 210,002,151,698.38
  5. Step 5: Solve for x
    x = 210,002,151,698.38/513,912.64
  6. Step 6: Final answer
    x = 408,633.95

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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.