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Finding the Fourth Proportional to 721,475.52, 995,793.12 and 419,709.12

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Solution

The fourth proportional to 721,475.52, 995,793.12 and 419,709.12 is: 579,289.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,475.52 : 995,793.12 = 419,709.12 : x
  2. Step 2: Convert to fraction form
    721,475.52/995,793.12 = 419,709.12/x
  3. Step 3: Cross multiply
    721,475.52x = 995,793.12 × 419,709.12
  4. Step 4: Simplify right side
    721,475.52x = 417,943,454,097.25
  5. Step 5: Solve for x
    x = 417,943,454,097.25/721,475.52
  6. Step 6: Final answer
    x = 579,289.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.