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Finding the Fourth Proportional to 275,747.20, 413,620.80 and 117,991.60

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Solution

The fourth proportional to 275,747.20, 413,620.80 and 117,991.60 is: 176,987.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,747.20 : 413,620.80 = 117,991.60 : x
  2. Step 2: Convert to fraction form
    275,747.20/413,620.80 = 117,991.60/x
  3. Step 3: Cross multiply
    275,747.20x = 413,620.80 × 117,991.60
  4. Step 4: Simplify right side
    275,747.20x = 48,803,779,985.28
  5. Step 5: Solve for x
    x = 48,803,779,985.28/275,747.20
  6. Step 6: Final answer
    x = 176,987.40

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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.