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Finding the Fourth Proportional to 649,499.40, 974,249.10 and 413,886.60

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Solution

The fourth proportional to 649,499.40, 974,249.10 and 413,886.60 is: 620,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,499.40 : 974,249.10 = 413,886.60 : x
  2. Step 2: Convert to fraction form
    649,499.40/974,249.10 = 413,886.60/x
  3. Step 3: Cross multiply
    649,499.40x = 974,249.10 × 413,886.60
  4. Step 4: Simplify right side
    649,499.40x = 403,228,647,552.06
  5. Step 5: Solve for x
    x = 403,228,647,552.06/649,499.40
  6. Step 6: Final answer
    x = 620,829.90

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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.