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Finding the Fourth Proportional to 647,580.30, 971,370.45 and 410,217.90

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Solution

The fourth proportional to 647,580.30, 971,370.45 and 410,217.90 is: 615,326.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,580.30 : 971,370.45 = 410,217.90 : x
  2. Step 2: Convert to fraction form
    647,580.30/971,370.45 = 410,217.90/x
  3. Step 3: Cross multiply
    647,580.30x = 971,370.45 × 410,217.90
  4. Step 4: Simplify right side
    647,580.30x = 398,473,546,121.06
  5. Step 5: Solve for x
    x = 398,473,546,121.06/647,580.30
  6. Step 6: Final answer
    x = 615,326.85

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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.