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Finding the Fourth Proportional to 649,639.20, 974,458.32 and 176,394

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Solution

The fourth proportional to 649,639.20, 974,458.32 and 176,394 is: 264,590.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,639.20 : 974,458.32 = 176,394 : x
  2. Step 2: Convert to fraction form
    649,639.20/974,458.32 = 176,394/x
  3. Step 3: Cross multiply
    649,639.20x = 974,458.32 × 176,394
  4. Step 4: Simplify right side
    649,639.20x = 171,888,600,898.08
  5. Step 5: Solve for x
    x = 171,888,600,898.08/649,639.20
  6. Step 6: Final answer
    x = 264,590.87

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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.