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Finding the Fourth Proportional to 238,711, 329,421.54 and 138,115.48

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Solution

The fourth proportional to 238,711, 329,421.54 and 138,115.48 is: 190,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,711 : 329,421.54 = 138,115.48 : x
  2. Step 2: Convert to fraction form
    238,711/329,421.54 = 138,115.48/x
  3. Step 3: Cross multiply
    238,711x = 329,421.54 × 138,115.48
  4. Step 4: Simplify right side
    238,711x = 45,498,214,119.44
  5. Step 5: Solve for x
    x = 45,498,214,119.44/238,711
  6. Step 6: Final answer
    x = 190,599.57

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1.5x scale

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.