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Finding the Fourth Proportional to 649,408.90, 974,266.95 and 206,176.90

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Solution

The fourth proportional to 649,408.90, 974,266.95 and 206,176.90 is: 309,314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,408.90 : 974,266.95 = 206,176.90 : x
  2. Step 2: Convert to fraction form
    649,408.90/974,266.95 = 206,176.90/x
  3. Step 3: Cross multiply
    649,408.90x = 974,266.95 × 206,176.90
  4. Step 4: Simplify right side
    649,408.90x = 200,871,339,523.46
  5. Step 5: Solve for x
    x = 200,871,339,523.46/649,408.90
  6. Step 6: Final answer
    x = 309,314.12

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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.