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Finding the Fourth Proportional to 423,029.82, 634,229.15 and 254,510.66

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Solution

The fourth proportional to 423,029.82, 634,229.15 and 254,510.66 is: 381,576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,029.82 : 634,229.15 = 254,510.66 : x
  2. Step 2: Convert to fraction form
    423,029.82/634,229.15 = 254,510.66/x
  3. Step 3: Cross multiply
    423,029.82x = 634,229.15 × 254,510.66
  4. Step 4: Simplify right side
    423,029.82x = 161,418,079,870.76
  5. Step 5: Solve for x
    x = 161,418,079,870.76/423,029.82
  6. Step 6: Final answer
    x = 381,576.12

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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.