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Finding the Fourth Proportional to 261,578, 392,370.64 and 74,589.50

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Solution

The fourth proportional to 261,578, 392,370.64 and 74,589.50 is: 111,885.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,578 : 392,370.64 = 74,589.50 : x
  2. Step 2: Convert to fraction form
    261,578/392,370.64 = 74,589.50/x
  3. Step 3: Cross multiply
    261,578x = 392,370.64 × 74,589.50
  4. Step 4: Simplify right side
    261,578x = 29,266,729,852.28
  5. Step 5: Solve for x
    x = 29,266,729,852.28/261,578
  6. Step 6: Final answer
    x = 111,885.29

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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.