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Finding the Fourth Proportional to 389,832.96, 537,963.62 and 217,753.32

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Solution

The fourth proportional to 389,832.96, 537,963.62 and 217,753.32 is: 300,496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,832.96 : 537,963.62 = 217,753.32 : x
  2. Step 2: Convert to fraction form
    389,832.96/537,963.62 = 217,753.32/x
  3. Step 3: Cross multiply
    389,832.96x = 537,963.62 × 217,753.32
  4. Step 4: Simplify right side
    389,832.96x = 117,143,364,294.22
  5. Step 5: Solve for x
    x = 117,143,364,294.22/389,832.96
  6. Step 6: Final answer
    x = 300,496.31

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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.