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Finding the Fourth Proportional to 385,335.72, 531,751.28 and 213,243.32

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Solution

The fourth proportional to 385,335.72, 531,751.28 and 213,243.32 is: 294,269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,335.72 : 531,751.28 = 213,243.32 : x
  2. Step 2: Convert to fraction form
    385,335.72/531,751.28 = 213,243.32/x
  3. Step 3: Cross multiply
    385,335.72x = 531,751.28 × 213,243.32
  4. Step 4: Simplify right side
    385,335.72x = 113,392,404,636.48
  5. Step 5: Solve for x
    x = 113,392,404,636.48/385,335.72
  6. Step 6: Final answer
    x = 294,269.12

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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.