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Finding the Fourth Proportional to 385,755.75, 532,319.45 and 213,663.51

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Solution

The fourth proportional to 385,755.75, 532,319.45 and 213,663.51 is: 294,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,755.75 : 532,319.45 = 213,663.51 : x
  2. Step 2: Convert to fraction form
    385,755.75/532,319.45 = 213,663.51/x
  3. Step 3: Cross multiply
    385,755.75x = 532,319.45 × 213,663.51
  4. Step 4: Simplify right side
    385,755.75x = 113,737,241,594.11
  5. Step 5: Solve for x
    x = 113,737,241,594.11/385,755.75
  6. Step 6: Final answer
    x = 294,842.64

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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.