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Finding the Fourth Proportional to 270,417, 373,142.62 and 149,541.82

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Solution

The fourth proportional to 270,417, 373,142.62 and 149,541.82 is: 206,349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,417 : 373,142.62 = 149,541.82 : x
  2. Step 2: Convert to fraction form
    270,417/373,142.62 = 149,541.82/x
  3. Step 3: Cross multiply
    270,417x = 373,142.62 × 149,541.82
  4. Step 4: Simplify right side
    270,417x = 55,800,426,514.37
  5. Step 5: Solve for x
    x = 55,800,426,514.37/270,417
  6. Step 6: Final answer
    x = 206,349.55

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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.