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Finding the Fourth Proportional to 649,383.40, 974,228.70 and 206,151.40

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Solution

The fourth proportional to 649,383.40, 974,228.70 and 206,151.40 is: 309,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,383.40 : 974,228.70 = 206,151.40 : x
  2. Step 2: Convert to fraction form
    649,383.40/974,228.70 = 206,151.40/x
  3. Step 3: Cross multiply
    649,383.40x = 974,228.70 × 206,151.40
  4. Step 4: Simplify right side
    649,383.40x = 200,838,610,425.18
  5. Step 5: Solve for x
    x = 200,838,610,425.18/649,383.40
  6. Step 6: Final answer
    x = 309,275.86

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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.