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Finding the Fourth Proportional to 238,381.75, 328,829.27 and 142,833.08

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Solution

The fourth proportional to 238,381.75, 328,829.27 and 142,833.08 is: 197,027.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,381.75 : 328,829.27 = 142,833.08 : x
  2. Step 2: Convert to fraction form
    238,381.75/328,829.27 = 142,833.08/x
  3. Step 3: Cross multiply
    238,381.75x = 328,829.27 × 142,833.08
  4. Step 4: Simplify right side
    238,381.75x = 46,967,697,428.25
  5. Step 5: Solve for x
    x = 46,967,697,428.25/238,381.75
  6. Step 6: Final answer
    x = 197,027.24

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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.