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Finding the Fourth Proportional to 382,488.78, 527,853.16 and 212,719.26

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Solution

The fourth proportional to 382,488.78, 527,853.16 and 212,719.26 is: 293,562.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,488.78 : 527,853.16 = 212,719.26 : x
  2. Step 2: Convert to fraction form
    382,488.78/527,853.16 = 212,719.26/x
  3. Step 3: Cross multiply
    382,488.78x = 527,853.16 × 212,719.26
  4. Step 4: Simplify right side
    382,488.78x = 112,284,533,583.86
  5. Step 5: Solve for x
    x = 112,284,533,583.86/382,488.78
  6. Step 6: Final answer
    x = 293,562.95

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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.