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Finding the Fourth Proportional to 275,329.72, 413,037.78 and 117,559

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Solution

The fourth proportional to 275,329.72, 413,037.78 and 117,559 is: 176,356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,329.72 : 413,037.78 = 117,559 : x
  2. Step 2: Convert to fraction form
    275,329.72/413,037.78 = 117,559/x
  3. Step 3: Cross multiply
    275,329.72x = 413,037.78 × 117,559
  4. Step 4: Simplify right side
    275,329.72x = 48,556,308,379.02
  5. Step 5: Solve for x
    x = 48,556,308,379.02/275,329.72
  6. Step 6: Final answer
    x = 176,356.95

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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.