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Finding the Fourth Proportional to 288,040.67, 432,060.93 and 77,678.54

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Solution

The fourth proportional to 288,040.67, 432,060.93 and 77,678.54 is: 116,517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,040.67 : 432,060.93 = 77,678.54 : x
  2. Step 2: Convert to fraction form
    288,040.67/432,060.93 = 77,678.54/x
  3. Step 3: Cross multiply
    288,040.67x = 432,060.93 × 77,678.54
  4. Step 4: Simplify right side
    288,040.67x = 33,561,862,233.44
  5. Step 5: Solve for x
    x = 33,561,862,233.44/288,040.67
  6. Step 6: Final answer
    x = 116,517.79

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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.