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Finding the Fourth Proportional to 217,451.20, 299,804.80 and 140,834.88

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Solution

The fourth proportional to 217,451.20, 299,804.80 and 140,834.88 is: 194,172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,451.20 : 299,804.80 = 140,834.88 : x
  2. Step 2: Convert to fraction form
    217,451.20/299,804.80 = 140,834.88/x
  3. Step 3: Cross multiply
    217,451.20x = 299,804.80 × 140,834.88
  4. Step 4: Simplify right side
    217,451.20x = 42,222,973,031.42
  5. Step 5: Solve for x
    x = 42,222,973,031.42/217,451.20
  6. Step 6: Final answer
    x = 194,172.18

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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.