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Finding the Fourth Proportional to 261,576.76, 392,265.55 and 154,990.80

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Solution

The fourth proportional to 261,576.76, 392,265.55 and 154,990.80 is: 232,427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,576.76 : 392,265.55 = 154,990.80 : x
  2. Step 2: Convert to fraction form
    261,576.76/392,265.55 = 154,990.80/x
  3. Step 3: Cross multiply
    261,576.76x = 392,265.55 × 154,990.80
  4. Step 4: Simplify right side
    261,576.76x = 60,797,551,406.94
  5. Step 5: Solve for x
    x = 60,797,551,406.94/261,576.76
  6. Step 6: Final answer
    x = 232,427.19

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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.