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Finding the Fourth Proportional to 486,515.80, 727,805.40 and 427,466.80

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Solution

The fourth proportional to 486,515.80, 727,805.40 and 427,466.80 is: 639,470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,515.80 : 727,805.40 = 427,466.80 : x
  2. Step 2: Convert to fraction form
    486,515.80/727,805.40 = 427,466.80/x
  3. Step 3: Cross multiply
    486,515.80x = 727,805.40 × 427,466.80
  4. Step 4: Simplify right side
    486,515.80x = 311,112,645,360.72
  5. Step 5: Solve for x
    x = 311,112,645,360.72/486,515.80
  6. Step 6: Final answer
    x = 639,470.79

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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.