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Finding the Fourth Proportional to 275,442, 413,337.78 and 117,671.64

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Solution

The fourth proportional to 275,442, 413,337.78 and 117,671.64 is: 176,582.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,442 : 413,337.78 = 117,671.64 : x
  2. Step 2: Convert to fraction form
    275,442/413,337.78 = 117,671.64/x
  3. Step 3: Cross multiply
    275,442x = 413,337.78 × 117,671.64
  4. Step 4: Simplify right side
    275,442x = 48,638,134,446.56
  5. Step 5: Solve for x
    x = 48,638,134,446.56/275,442
  6. Step 6: Final answer
    x = 176,582.13

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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.