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Finding the Fourth Proportional to 649,882.16, 974,901 and 229,070.96

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Solution

The fourth proportional to 649,882.16, 974,901 and 229,070.96 is: 343,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,882.16 : 974,901 = 229,070.96 : x
  2. Step 2: Convert to fraction form
    649,882.16/974,901 = 229,070.96/x
  3. Step 3: Cross multiply
    649,882.16x = 974,901 × 229,070.96
  4. Step 4: Simplify right side
    649,882.16x = 223,321,507,974.96
  5. Step 5: Solve for x
    x = 223,321,507,974.96/649,882.16
  6. Step 6: Final answer
    x = 343,633.85

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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.