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Finding the Fourth Proportional to 275,440.36, 413,175.90 and 78,433

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Solution

The fourth proportional to 275,440.36, 413,175.90 and 78,433 is: 117,653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,440.36 : 413,175.90 = 78,433 : x
  2. Step 2: Convert to fraction form
    275,440.36/413,175.90 = 78,433/x
  3. Step 3: Cross multiply
    275,440.36x = 413,175.90 × 78,433
  4. Step 4: Simplify right side
    275,440.36x = 32,406,625,364.70
  5. Step 5: Solve for x
    x = 32,406,625,364.70/275,440.36
  6. Step 6: Final answer
    x = 117,653.87

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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.