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Finding the Fourth Proportional to 649,723.49, 974,751.32 and 250,257

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Solution

The fourth proportional to 649,723.49, 974,751.32 and 250,257 is: 375,449.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,723.49 : 974,751.32 = 250,257 : x
  2. Step 2: Convert to fraction form
    649,723.49/974,751.32 = 250,257/x
  3. Step 3: Cross multiply
    649,723.49x = 974,751.32 × 250,257
  4. Step 4: Simplify right side
    649,723.49x = 243,938,339,837.96
  5. Step 5: Solve for x
    x = 243,938,339,837.96/649,723.49
  6. Step 6: Final answer
    x = 375,449.47

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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.