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Finding the Fourth Proportional to 356,291.40, 491,690.11 and 203,326.55

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Solution

The fourth proportional to 356,291.40, 491,690.11 and 203,326.55 is: 280,595.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,291.40 : 491,690.11 = 203,326.55 : x
  2. Step 2: Convert to fraction form
    356,291.40/491,690.11 = 203,326.55/x
  3. Step 3: Cross multiply
    356,291.40x = 491,690.11 × 203,326.55
  4. Step 4: Simplify right side
    356,291.40x = 99,973,650,768.65
  5. Step 5: Solve for x
    x = 99,973,650,768.65/356,291.40
  6. Step 6: Final answer
    x = 280,595.18

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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.