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Finding the Fourth Proportional to 396,127, 546,656.16 and 226,360.72

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Solution

The fourth proportional to 396,127, 546,656.16 and 226,360.72 is: 312,378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,127 : 546,656.16 = 226,360.72 : x
  2. Step 2: Convert to fraction form
    396,127/546,656.16 = 226,360.72/x
  3. Step 3: Cross multiply
    396,127x = 546,656.16 × 226,360.72
  4. Step 4: Simplify right side
    396,127x = 123,741,481,970.04
  5. Step 5: Solve for x
    x = 123,741,481,970.04/396,127
  6. Step 6: Final answer
    x = 312,378.31

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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.