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Finding the Fourth Proportional to 238,381.87, 328,829.44 and 142,833.20

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Solution

The fourth proportional to 238,381.87, 328,829.44 and 142,833.20 is: 197,027.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,381.87 : 328,829.44 = 142,833.20 : x
  2. Step 2: Convert to fraction form
    238,381.87/328,829.44 = 142,833.20/x
  3. Step 3: Cross multiply
    238,381.87x = 328,829.44 × 142,833.20
  4. Step 4: Simplify right side
    238,381.87x = 46,967,761,169.41
  5. Step 5: Solve for x
    x = 46,967,761,169.41/238,381.87
  6. Step 6: Final answer
    x = 197,027.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.