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Finding the Fourth Proportional to 659,229.50, 988,257.81 and 238,411.82

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Solution

The fourth proportional to 659,229.50, 988,257.81 and 238,411.82 is: 357,405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,229.50 : 988,257.81 = 238,411.82 : x
  2. Step 2: Convert to fraction form
    659,229.50/988,257.81 = 238,411.82/x
  3. Step 3: Cross multiply
    659,229.50x = 988,257.81 × 238,411.82
  4. Step 4: Simplify right side
    659,229.50x = 235,612,343,111.31
  5. Step 5: Solve for x
    x = 235,612,343,111.31/659,229.50
  6. Step 6: Final answer
    x = 357,405.64

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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.