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Finding the Fourth Proportional to 316,240.38, 436,404 and 193,780.41

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Solution

The fourth proportional to 316,240.38, 436,404 and 193,780.41 is: 267,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,240.38 : 436,404 = 193,780.41 : x
  2. Step 2: Convert to fraction form
    316,240.38/436,404 = 193,780.41/x
  3. Step 3: Cross multiply
    316,240.38x = 436,404 × 193,780.41
  4. Step 4: Simplify right side
    316,240.38x = 84,566,546,045.64
  5. Step 5: Solve for x
    x = 84,566,546,045.64/316,240.38
  6. Step 6: Final answer
    x = 267,412.23

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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.