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Finding the Fourth Proportional to 409,060.80, 613,610.40 and 128,587.20

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Solution

The fourth proportional to 409,060.80, 613,610.40 and 128,587.20 is: 192,886.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,060.80 : 613,610.40 = 128,587.20 : x
  2. Step 2: Convert to fraction form
    409,060.80/613,610.40 = 128,587.20/x
  3. Step 3: Cross multiply
    409,060.80x = 613,610.40 × 128,587.20
  4. Step 4: Simplify right side
    409,060.80x = 78,902,443,226.88
  5. Step 5: Solve for x
    x = 78,902,443,226.88/409,060.80
  6. Step 6: Final answer
    x = 192,886.84

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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.