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Finding the Fourth Proportional to 515,709, 711,690.68 and 289,371.24

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Solution

The fourth proportional to 515,709, 711,690.68 and 289,371.24 is: 399,339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,709 : 711,690.68 = 289,371.24 : x
  2. Step 2: Convert to fraction form
    515,709/711,690.68 = 289,371.24/x
  3. Step 3: Cross multiply
    515,709x = 711,690.68 × 289,371.24
  4. Step 4: Simplify right side
    515,709x = 205,942,814,568.04
  5. Step 5: Solve for x
    x = 205,942,814,568.04/515,709
  6. Step 6: Final answer
    x = 399,339.19

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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.