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Finding the Fourth Proportional to 243,353.17, 335,642.21 and 209,418.76

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Solution

The fourth proportional to 243,353.17, 335,642.21 and 209,418.76 is: 288,838.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,353.17 : 335,642.21 = 209,418.76 : x
  2. Step 2: Convert to fraction form
    243,353.17/335,642.21 = 209,418.76/x
  3. Step 3: Cross multiply
    243,353.17x = 335,642.21 × 209,418.76
  4. Step 4: Simplify right side
    243,353.17x = 70,289,773,743.65
  5. Step 5: Solve for x
    x = 70,289,773,743.65/243,353.17
  6. Step 6: Final answer
    x = 288,838.54

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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.