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Finding the Fourth Proportional to 453,904.10, 680,856.15 and 419,689.70

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Solution

The fourth proportional to 453,904.10, 680,856.15 and 419,689.70 is: 629,534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,904.10 : 680,856.15 = 419,689.70 : x
  2. Step 2: Convert to fraction form
    453,904.10/680,856.15 = 419,689.70/x
  3. Step 3: Cross multiply
    453,904.10x = 680,856.15 × 419,689.70
  4. Step 4: Simplify right side
    453,904.10x = 285,748,313,336.66
  5. Step 5: Solve for x
    x = 285,748,313,336.66/453,904.10
  6. Step 6: Final answer
    x = 629,534.55

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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.