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Finding the Fourth Proportional to 354,821.60, 531,454.80 and 188,415.20

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Solution

The fourth proportional to 354,821.60, 531,454.80 and 188,415.20 is: 282,209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,821.60 : 531,454.80 = 188,415.20 : x
  2. Step 2: Convert to fraction form
    354,821.60/531,454.80 = 188,415.20/x
  3. Step 3: Cross multiply
    354,821.60x = 531,454.80 × 188,415.20
  4. Step 4: Simplify right side
    354,821.60x = 100,134,162,432.96
  5. Step 5: Solve for x
    x = 100,134,162,432.96/354,821.60
  6. Step 6: Final answer
    x = 282,209.88

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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.