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Finding the Fourth Proportional to 396,128, 546,657.54 and 226,361.72

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Solution

The fourth proportional to 396,128, 546,657.54 and 226,361.72 is: 312,379.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,128 : 546,657.54 = 226,361.72 : x
  2. Step 2: Convert to fraction form
    396,128/546,657.54 = 226,361.72/x
  3. Step 3: Cross multiply
    396,128x = 546,657.54 × 226,361.72
  4. Step 4: Simplify right side
    396,128x = 123,742,341,005.37
  5. Step 5: Solve for x
    x = 123,742,341,005.37/396,128
  6. Step 6: Final answer
    x = 312,379.69

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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.