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Finding the Fourth Proportional to 361,470.85, 542,319.60 and 217,533.75

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Solution

The fourth proportional to 361,470.85, 542,319.60 and 217,533.75 is: 326,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,470.85 : 542,319.60 = 217,533.75 : x
  2. Step 2: Convert to fraction form
    361,470.85/542,319.60 = 217,533.75/x
  3. Step 3: Cross multiply
    361,470.85x = 542,319.60 × 217,533.75
  4. Step 4: Simplify right side
    361,470.85x = 117,972,818,119.10
  5. Step 5: Solve for x
    x = 117,972,818,119.10/361,470.85
  6. Step 6: Final answer
    x = 326,368.83

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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.