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Finding the Fourth Proportional to 649,308.83, 974,069.82 and 200,019.83

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Solution

The fourth proportional to 649,308.83, 974,069.82 and 200,019.83 is: 300,062.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,308.83 : 974,069.82 = 200,019.83 : x
  2. Step 2: Convert to fraction form
    649,308.83/974,069.82 = 200,019.83/x
  3. Step 3: Cross multiply
    649,308.83x = 974,069.82 × 200,019.83
  4. Step 4: Simplify right side
    649,308.83x = 194,833,274,934.18
  5. Step 5: Solve for x
    x = 194,833,274,934.18/649,308.83
  6. Step 6: Final answer
    x = 300,062.57

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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.