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Finding the Fourth Proportional to 513,803.88, 709,287.30 and 298,865.52

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Solution

The fourth proportional to 513,803.88, 709,287.30 and 298,865.52 is: 412,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,803.88 : 709,287.30 = 298,865.52 : x
  2. Step 2: Convert to fraction form
    513,803.88/709,287.30 = 298,865.52/x
  3. Step 3: Cross multiply
    513,803.88x = 709,287.30 × 298,865.52
  4. Step 4: Simplify right side
    513,803.88x = 211,981,517,743.90
  5. Step 5: Solve for x
    x = 211,981,517,743.90/513,803.88
  6. Step 6: Final answer
    x = 412,572.82

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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.