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Finding the Fourth Proportional to 392,281.32, 541,303.56 and 220,175.94

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Solution

The fourth proportional to 392,281.32, 541,303.56 and 220,175.94 is: 303,817.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,281.32 : 541,303.56 = 220,175.94 : x
  2. Step 2: Convert to fraction form
    392,281.32/541,303.56 = 220,175.94/x
  3. Step 3: Cross multiply
    392,281.32x = 541,303.56 × 220,175.94
  4. Step 4: Simplify right side
    392,281.32x = 119,182,020,148.35
  5. Step 5: Solve for x
    x = 119,182,020,148.35/392,281.32
  6. Step 6: Final answer
    x = 303,817.73

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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.