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Finding the Fourth Proportional to 511,984.85, 767,988.34 and 156,991.01

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Solution

The fourth proportional to 511,984.85, 767,988.34 and 156,991.01 is: 235,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,984.85 : 767,988.34 = 156,991.01 : x
  2. Step 2: Convert to fraction form
    511,984.85/767,988.34 = 156,991.01/x
  3. Step 3: Cross multiply
    511,984.85x = 767,988.34 × 156,991.01
  4. Step 4: Simplify right side
    511,984.85x = 120,567,265,164.82
  5. Step 5: Solve for x
    x = 120,567,265,164.82/511,984.85
  6. Step 6: Final answer
    x = 235,489.91

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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.