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Finding the Fourth Proportional to 492,853.21, 680,138.17 and 266,498.71

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Solution

The fourth proportional to 492,853.21, 680,138.17 and 266,498.71 is: 367,768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,853.21 : 680,138.17 = 266,498.71 : x
  2. Step 2: Convert to fraction form
    492,853.21/680,138.17 = 266,498.71/x
  3. Step 3: Cross multiply
    492,853.21x = 680,138.17 × 266,498.71
  4. Step 4: Simplify right side
    492,853.21x = 181,255,942,560.17
  5. Step 5: Solve for x
    x = 181,255,942,560.17/492,853.21
  6. Step 6: Final answer
    x = 367,768.62

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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.