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Finding the Fourth Proportional to 387,466.31, 534,682.95 and 217,689.50

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Solution

The fourth proportional to 387,466.31, 534,682.95 and 217,689.50 is: 300,399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,466.31 : 534,682.95 = 217,689.50 : x
  2. Step 2: Convert to fraction form
    387,466.31/534,682.95 = 217,689.50/x
  3. Step 3: Cross multiply
    387,466.31x = 534,682.95 × 217,689.50
  4. Step 4: Simplify right side
    387,466.31x = 116,394,864,044.03
  5. Step 5: Solve for x
    x = 116,394,864,044.03/387,466.31
  6. Step 6: Final answer
    x = 300,399.96

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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.