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Finding the Fourth Proportional to 587,742.80, 881,959.80 and 213,717.20

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Solution

The fourth proportional to 587,742.80, 881,959.80 and 213,717.20 is: 320,701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,742.80 : 881,959.80 = 213,717.20 : x
  2. Step 2: Convert to fraction form
    587,742.80/881,959.80 = 213,717.20/x
  3. Step 3: Cross multiply
    587,742.80x = 881,959.80 × 213,717.20
  4. Step 4: Simplify right side
    587,742.80x = 188,489,978,968.56
  5. Step 5: Solve for x
    x = 188,489,978,968.56/587,742.80
  6. Step 6: Final answer
    x = 320,701.47

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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.