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Finding the Fourth Proportional to 417,820.80, 626,839.20 and 181,108.80

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Solution

The fourth proportional to 417,820.80, 626,839.20 and 181,108.80 is: 271,710.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,820.80 : 626,839.20 = 181,108.80 : x
  2. Step 2: Convert to fraction form
    417,820.80/626,839.20 = 181,108.80/x
  3. Step 3: Cross multiply
    417,820.80x = 626,839.20 × 181,108.80
  4. Step 4: Simplify right side
    417,820.80x = 113,526,095,304.96
  5. Step 5: Solve for x
    x = 113,526,095,304.96/417,820.80
  6. Step 6: Final answer
    x = 271,710.01

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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.