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Finding the Fourth Proportional to 649,870.94, 974,431.22 and 200,471.15

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Solution

The fourth proportional to 649,870.94, 974,431.22 and 200,471.15 is: 300,590.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,870.94 : 974,431.22 = 200,471.15 : x
  2. Step 2: Convert to fraction form
    649,870.94/974,431.22 = 200,471.15/x
  3. Step 3: Cross multiply
    649,870.94x = 974,431.22 × 200,471.15
  4. Step 4: Simplify right side
    649,870.94x = 195,345,348,703.03
  5. Step 5: Solve for x
    x = 195,345,348,703.03/649,870.94
  6. Step 6: Final answer
    x = 300,590.99

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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.