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Finding the Fourth Proportional to 298,978.02, 447,959.52 and 180,400.20

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Solution

The fourth proportional to 298,978.02, 447,959.52 and 180,400.20 is: 270,294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,978.02 : 447,959.52 = 180,400.20 : x
  2. Step 2: Convert to fraction form
    298,978.02/447,959.52 = 180,400.20/x
  3. Step 3: Cross multiply
    298,978.02x = 447,959.52 × 180,400.20
  4. Step 4: Simplify right side
    298,978.02x = 80,811,986,999.90
  5. Step 5: Solve for x
    x = 80,811,986,999.90/298,978.02
  6. Step 6: Final answer
    x = 270,294.07

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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.