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Finding the Fourth Proportional to 397,228.80, 595,065.60 and 238,987.20

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Solution

The fourth proportional to 397,228.80, 595,065.60 and 238,987.20 is: 358,012.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,228.80 : 595,065.60 = 238,987.20 : x
  2. Step 2: Convert to fraction form
    397,228.80/595,065.60 = 238,987.20/x
  3. Step 3: Cross multiply
    397,228.80x = 595,065.60 × 238,987.20
  4. Step 4: Simplify right side
    397,228.80x = 142,213,061,560.32
  5. Step 5: Solve for x
    x = 142,213,061,560.32/397,228.80
  6. Step 6: Final answer
    x = 358,012.97

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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.