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Finding the Fourth Proportional to 305,638.38, 458,396.89 and 153,794.97

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Solution

The fourth proportional to 305,638.38, 458,396.89 and 153,794.97 is: 230,661.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,638.38 : 458,396.89 = 153,794.97 : x
  2. Step 2: Convert to fraction form
    305,638.38/458,396.89 = 153,794.97/x
  3. Step 3: Cross multiply
    305,638.38x = 458,396.89 × 153,794.97
  4. Step 4: Simplify right side
    305,638.38x = 70,499,135,561.16
  5. Step 5: Solve for x
    x = 70,499,135,561.16/305,638.38
  6. Step 6: Final answer
    x = 230,661.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.