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Finding the Fourth Proportional to 270,308.90, 373,011.20 and 149,443.14

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Solution

The fourth proportional to 270,308.90, 373,011.20 and 149,443.14 is: 206,223.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,308.90 : 373,011.20 = 149,443.14 : x
  2. Step 2: Convert to fraction form
    270,308.90/373,011.20 = 149,443.14/x
  3. Step 3: Cross multiply
    270,308.90x = 373,011.20 × 149,443.14
  4. Step 4: Simplify right side
    270,308.90x = 55,743,964,983.17
  5. Step 5: Solve for x
    x = 55,743,964,983.17/270,308.90
  6. Step 6: Final answer
    x = 206,223.19

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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.