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Finding the Fourth Proportional to 649,543.40, 974,468.70 and 206,311.40

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Solution

The fourth proportional to 649,543.40, 974,468.70 and 206,311.40 is: 309,515.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,543.40 : 974,468.70 = 206,311.40 : x
  2. Step 2: Convert to fraction form
    649,543.40/974,468.70 = 206,311.40/x
  3. Step 3: Cross multiply
    649,543.40x = 974,468.70 × 206,311.40
  4. Step 4: Simplify right side
    649,543.40x = 201,044,001,753.18
  5. Step 5: Solve for x
    x = 201,044,001,753.18/649,543.40
  6. Step 6: Final answer
    x = 309,515.89

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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.