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Finding the Fourth Proportional to 471,155.68, 649,980.32 and 280,060.48

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Solution

The fourth proportional to 471,155.68, 649,980.32 and 280,060.48 is: 386,355.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,155.68 : 649,980.32 = 280,060.48 : x
  2. Step 2: Convert to fraction form
    471,155.68/649,980.32 = 280,060.48/x
  3. Step 3: Cross multiply
    471,155.68x = 649,980.32 × 280,060.48
  4. Step 4: Simplify right side
    471,155.68x = 182,033,800,409.75
  5. Step 5: Solve for x
    x = 182,033,800,409.75/471,155.68
  6. Step 6: Final answer
    x = 386,355.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.