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Finding the Fourth Proportional to 819,898.65, 1,229,812.56 and 280,203.12

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Solution

The fourth proportional to 819,898.65, 1,229,812.56 and 280,203.12 is: 420,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,898.65 : 1,229,812.56 = 280,203.12 : x
  2. Step 2: Convert to fraction form
    819,898.65/1,229,812.56 = 280,203.12/x
  3. Step 3: Cross multiply
    819,898.65x = 1,229,812.56 × 280,203.12
  4. Step 4: Simplify right side
    819,898.65x = 344,597,316,327.19
  5. Step 5: Solve for x
    x = 344,597,316,327.19/819,898.65
  6. Step 6: Final answer
    x = 420,292.58

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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.