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Finding the Fourth Proportional to 519,769.68, 717,344.40 and 315,853.92

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Solution

The fourth proportional to 519,769.68, 717,344.40 and 315,853.92 is: 435,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,769.68 : 717,344.40 = 315,853.92 : x
  2. Step 2: Convert to fraction form
    519,769.68/717,344.40 = 315,853.92/x
  3. Step 3: Cross multiply
    519,769.68x = 717,344.40 × 315,853.92
  4. Step 4: Simplify right side
    519,769.68x = 226,576,040,730.05
  5. Step 5: Solve for x
    x = 226,576,040,730.05/519,769.68
  6. Step 6: Final answer
    x = 435,916.23

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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.