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Finding the Fourth Proportional to 649,641.20, 974,461.32 and 176,396

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Solution

The fourth proportional to 649,641.20, 974,461.32 and 176,396 is: 264,593.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,641.20 : 974,461.32 = 176,396 : x
  2. Step 2: Convert to fraction form
    649,641.20/974,461.32 = 176,396/x
  3. Step 3: Cross multiply
    649,641.20x = 974,461.32 × 176,396
  4. Step 4: Simplify right side
    649,641.20x = 171,891,079,002.72
  5. Step 5: Solve for x
    x = 171,891,079,002.72/649,641.20
  6. Step 6: Final answer
    x = 264,593.87

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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.