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Finding the Fourth Proportional to 272,291.40, 408,437.10 and 154,193.40

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Solution

The fourth proportional to 272,291.40, 408,437.10 and 154,193.40 is: 231,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,291.40 : 408,437.10 = 154,193.40 : x
  2. Step 2: Convert to fraction form
    272,291.40/408,437.10 = 154,193.40/x
  3. Step 3: Cross multiply
    272,291.40x = 408,437.10 × 154,193.40
  4. Step 4: Simplify right side
    272,291.40x = 62,978,305,135.14
  5. Step 5: Solve for x
    x = 62,978,305,135.14/272,291.40
  6. Step 6: Final answer
    x = 231,290.10

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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.