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Finding the Fourth Proportional to 516,253.50, 712,429.83 and 289,899

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Solution

The fourth proportional to 516,253.50, 712,429.83 and 289,899 is: 400,060.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,253.50 : 712,429.83 = 289,899 : x
  2. Step 2: Convert to fraction form
    516,253.50/712,429.83 = 289,899/x
  3. Step 3: Cross multiply
    516,253.50x = 712,429.83 × 289,899
  4. Step 4: Simplify right side
    516,253.50x = 206,532,695,287.17
  5. Step 5: Solve for x
    x = 206,532,695,287.17/516,253.50
  6. Step 6: Final answer
    x = 400,060.62

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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.