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Finding the Fourth Proportional to 288,538.76, 432,832.75 and 75,334.97

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Solution

The fourth proportional to 288,538.76, 432,832.75 and 75,334.97 is: 113,008.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,538.76 : 432,832.75 = 75,334.97 : x
  2. Step 2: Convert to fraction form
    288,538.76/432,832.75 = 75,334.97/x
  3. Step 3: Cross multiply
    288,538.76x = 432,832.75 × 75,334.97
  4. Step 4: Simplify right side
    288,538.76x = 32,607,440,695.33
  5. Step 5: Solve for x
    x = 32,607,440,695.33/288,538.76
  6. Step 6: Final answer
    x = 113,008.87

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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.