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Finding the Fourth Proportional to 382,633.38, 528,058.71 and 212,867.37

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Solution

The fourth proportional to 382,633.38, 528,058.71 and 212,867.37 is: 293,770.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,633.38 : 528,058.71 = 212,867.37 : x
  2. Step 2: Convert to fraction form
    382,633.38/528,058.71 = 212,867.37/x
  3. Step 3: Cross multiply
    382,633.38x = 528,058.71 × 212,867.37
  4. Step 4: Simplify right side
    382,633.38x = 112,406,468,803.29
  5. Step 5: Solve for x
    x = 112,406,468,803.29/382,633.38
  6. Step 6: Final answer
    x = 293,770.68

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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.