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Finding the Fourth Proportional to 515,293.38, 771,718.32 and 408,333.42

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Solution

The fourth proportional to 515,293.38, 771,718.32 and 408,333.42 is: 611,531.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,293.38 : 771,718.32 = 408,333.42 : x
  2. Step 2: Convert to fraction form
    515,293.38/771,718.32 = 408,333.42/x
  3. Step 3: Cross multiply
    515,293.38x = 771,718.32 × 408,333.42
  4. Step 4: Simplify right side
    515,293.38x = 315,118,380,882.25
  5. Step 5: Solve for x
    x = 315,118,380,882.25/515,293.38
  6. Step 6: Final answer
    x = 611,531.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.