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Finding the Fourth Proportional to 381,518.74, 526,374.07 and 220,352.50

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Solution

The fourth proportional to 381,518.74, 526,374.07 and 220,352.50 is: 304,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,518.74 : 526,374.07 = 220,352.50 : x
  2. Step 2: Convert to fraction form
    381,518.74/526,374.07 = 220,352.50/x
  3. Step 3: Cross multiply
    381,518.74x = 526,374.07 × 220,352.50
  4. Step 4: Simplify right side
    381,518.74x = 115,987,842,259.68
  5. Step 5: Solve for x
    x = 115,987,842,259.68/381,518.74
  6. Step 6: Final answer
    x = 304,016.11

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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.