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Finding the Fourth Proportional to 650,508, 974,754.32 and 451,215.84

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Solution

The fourth proportional to 650,508, 974,754.32 and 451,215.84 is: 676,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,508 : 974,754.32 = 451,215.84 : x
  2. Step 2: Convert to fraction form
    650,508/974,754.32 = 451,215.84/x
  3. Step 3: Cross multiply
    650,508x = 974,754.32 × 451,215.84
  4. Step 4: Simplify right side
    650,508x = 439,824,589,292.43
  5. Step 5: Solve for x
    x = 439,824,589,292.43/650,508
  6. Step 6: Final answer
    x = 676,124.80

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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.