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Finding the Fourth Proportional to 456,057.90, 680,747.04 and 402,190.74

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Solution

The fourth proportional to 456,057.90, 680,747.04 and 402,190.74 is: 600,340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,057.90 : 680,747.04 = 402,190.74 : x
  2. Step 2: Convert to fraction form
    456,057.90/680,747.04 = 402,190.74/x
  3. Step 3: Cross multiply
    456,057.90x = 680,747.04 × 402,190.74
  4. Step 4: Simplify right side
    456,057.90x = 273,790,155,770.41
  5. Step 5: Solve for x
    x = 273,790,155,770.41/456,057.90
  6. Step 6: Final answer
    x = 600,340.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.