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Finding the Fourth Proportional to 283,864.65, 425,787.75 and 115,335.15

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Solution

The fourth proportional to 283,864.65, 425,787.75 and 115,335.15 is: 172,998.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,864.65 : 425,787.75 = 115,335.15 : x
  2. Step 2: Convert to fraction form
    283,864.65/425,787.75 = 115,335.15/x
  3. Step 3: Cross multiply
    283,864.65x = 425,787.75 × 115,335.15
  4. Step 4: Simplify right side
    283,864.65x = 49,108,294,014.41
  5. Step 5: Solve for x
    x = 49,108,294,014.41/283,864.65
  6. Step 6: Final answer
    x = 172,998.98

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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.