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Finding the Fourth Proportional to 220,779.52, 304,676.16 and 120,177.28

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Solution

The fourth proportional to 220,779.52, 304,676.16 and 120,177.28 is: 165,844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,779.52 : 304,676.16 = 120,177.28 : x
  2. Step 2: Convert to fraction form
    220,779.52/304,676.16 = 120,177.28/x
  3. Step 3: Cross multiply
    220,779.52x = 304,676.16 × 120,177.28
  4. Step 4: Simplify right side
    220,779.52x = 36,615,152,189.64
  5. Step 5: Solve for x
    x = 36,615,152,189.64/220,779.52
  6. Step 6: Final answer
    x = 165,844.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.