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Finding the Fourth Proportional to 288,699.44, 433,021.29 and 88,966.20

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Solution

The fourth proportional to 288,699.44, 433,021.29 and 88,966.20 is: 133,440.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,699.44 : 433,021.29 = 88,966.20 : x
  2. Step 2: Convert to fraction form
    288,699.44/433,021.29 = 88,966.20/x
  3. Step 3: Cross multiply
    288,699.44x = 433,021.29 × 88,966.20
  4. Step 4: Simplify right side
    288,699.44x = 38,524,258,690.40
  5. Step 5: Solve for x
    x = 38,524,258,690.40/288,699.44
  6. Step 6: Final answer
    x = 133,440.71

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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.