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Finding the Fourth Proportional to 207,648.80, 311,473.20 and 155,160.80

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Solution

The fourth proportional to 207,648.80, 311,473.20 and 155,160.80 is: 232,741.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,648.80 : 311,473.20 = 155,160.80 : x
  2. Step 2: Convert to fraction form
    207,648.80/311,473.20 = 155,160.80/x
  3. Step 3: Cross multiply
    207,648.80x = 311,473.20 × 155,160.80
  4. Step 4: Simplify right side
    207,648.80x = 48,328,430,890.56
  5. Step 5: Solve for x
    x = 48,328,430,890.56/207,648.80
  6. Step 6: Final answer
    x = 232,741.20

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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.