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Finding the Fourth Proportional to 272,801.40, 410,076.90 and 194,458.20

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Solution

The fourth proportional to 272,801.40, 410,076.90 and 194,458.20 is: 292,310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,801.40 : 410,076.90 = 194,458.20 : x
  2. Step 2: Convert to fraction form
    272,801.40/410,076.90 = 194,458.20/x
  3. Step 3: Cross multiply
    272,801.40x = 410,076.90 × 194,458.20
  4. Step 4: Simplify right side
    272,801.40x = 79,742,815,835.58
  5. Step 5: Solve for x
    x = 79,742,815,835.58/272,801.40
  6. Step 6: Final answer
    x = 292,310.87

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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.