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Finding the Fourth Proportional to 288,906.80, 433,484.26 and 111,538.38

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Solution

The fourth proportional to 288,906.80, 433,484.26 and 111,538.38 is: 167,355.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,906.80 : 433,484.26 = 111,538.38 : x
  2. Step 2: Convert to fraction form
    288,906.80/433,484.26 = 111,538.38/x
  3. Step 3: Cross multiply
    288,906.80x = 433,484.26 × 111,538.38
  4. Step 4: Simplify right side
    288,906.80x = 48,350,132,115.90
  5. Step 5: Solve for x
    x = 48,350,132,115.90/288,906.80
  6. Step 6: Final answer
    x = 167,355.47

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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.