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Finding the Fourth Proportional to 240,798.56, 332,298.65 and 138,824.21

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Solution

The fourth proportional to 240,798.56, 332,298.65 and 138,824.21 is: 191,575.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,798.56 : 332,298.65 = 138,824.21 : x
  2. Step 2: Convert to fraction form
    240,798.56/332,298.65 = 138,824.21/x
  3. Step 3: Cross multiply
    240,798.56x = 332,298.65 × 138,824.21
  4. Step 4: Simplify right side
    240,798.56x = 46,131,098,748.12
  5. Step 5: Solve for x
    x = 46,131,098,748.12/240,798.56
  6. Step 6: Final answer
    x = 191,575.48

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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.