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Finding the Fourth Proportional to 516,419.52, 712,794.28 and 290,137.92

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Solution

The fourth proportional to 516,419.52, 712,794.28 and 290,137.92 is: 400,466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,419.52 : 712,794.28 = 290,137.92 : x
  2. Step 2: Convert to fraction form
    516,419.52/712,794.28 = 290,137.92/x
  3. Step 3: Cross multiply
    516,419.52x = 712,794.28 × 290,137.92
  4. Step 4: Simplify right side
    516,419.52x = 206,808,649,787.10
  5. Step 5: Solve for x
    x = 206,808,649,787.10/516,419.52
  6. Step 6: Final answer
    x = 400,466.37

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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.