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Finding the Fourth Proportional to 451,006.74, 674,943.57 and 280,158.30

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Solution

The fourth proportional to 451,006.74, 674,943.57 and 280,158.30 is: 419,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,006.74 : 674,943.57 = 280,158.30 : x
  2. Step 2: Convert to fraction form
    451,006.74/674,943.57 = 280,158.30/x
  3. Step 3: Cross multiply
    451,006.74x = 674,943.57 × 280,158.30
  4. Step 4: Simplify right side
    451,006.74x = 189,091,043,167.13
  5. Step 5: Solve for x
    x = 189,091,043,167.13/451,006.74
  6. Step 6: Final answer
    x = 419,264.34

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1.5x scale

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.