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Finding the Fourth Proportional to 270,400.78, 373,146.20 and 149,538.84

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Solution

The fourth proportional to 270,400.78, 373,146.20 and 149,538.84 is: 206,359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,400.78 : 373,146.20 = 149,538.84 : x
  2. Step 2: Convert to fraction form
    270,400.78/373,146.20 = 149,538.84/x
  3. Step 3: Cross multiply
    270,400.78x = 373,146.20 × 149,538.84
  4. Step 4: Simplify right side
    270,400.78x = 55,799,849,898.41
  5. Step 5: Solve for x
    x = 55,799,849,898.41/270,400.78
  6. Step 6: Final answer
    x = 206,359.80

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1.5x scale

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.