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Finding the Fourth Proportional to 649,536.80, 974,452.80 and 294,652.40

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Solution

The fourth proportional to 649,536.80, 974,452.80 and 294,652.40 is: 442,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,536.80 : 974,452.80 = 294,652.40 : x
  2. Step 2: Convert to fraction form
    649,536.80/974,452.80 = 294,652.40/x
  3. Step 3: Cross multiply
    649,536.80x = 974,452.80 × 294,652.40
  4. Step 4: Simplify right side
    649,536.80x = 287,124,856,206.72
  5. Step 5: Solve for x
    x = 287,124,856,206.72/649,536.80
  6. Step 6: Final answer
    x = 442,045.56

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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.