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Finding the Fourth Proportional to 649,643.20, 974,464.32 and 176,398

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Solution

The fourth proportional to 649,643.20, 974,464.32 and 176,398 is: 264,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,643.20 : 974,464.32 = 176,398 : x
  2. Step 2: Convert to fraction form
    649,643.20/974,464.32 = 176,398/x
  3. Step 3: Cross multiply
    649,643.20x = 974,464.32 × 176,398
  4. Step 4: Simplify right side
    649,643.20x = 171,893,557,119.36
  5. Step 5: Solve for x
    x = 171,893,557,119.36/649,643.20
  6. Step 6: Final answer
    x = 264,596.87

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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.