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Finding the Fourth Proportional to 320,177.80, 480,266.94 and 83,520.20

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Solution

The fourth proportional to 320,177.80, 480,266.94 and 83,520.20 is: 125,280.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,177.80 : 480,266.94 = 83,520.20 : x
  2. Step 2: Convert to fraction form
    320,177.80/480,266.94 = 83,520.20/x
  3. Step 3: Cross multiply
    320,177.80x = 480,266.94 × 83,520.20
  4. Step 4: Simplify right side
    320,177.80x = 40,111,990,882.19
  5. Step 5: Solve for x
    x = 40,111,990,882.19/320,177.80
  6. Step 6: Final answer
    x = 125,280.36

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1.5x scale

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.