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Finding the Fourth Proportional to 389,382.96, 584,058.24 and 213,007.44

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Solution

The fourth proportional to 389,382.96, 584,058.24 and 213,007.44 is: 319,502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,382.96 : 584,058.24 = 213,007.44 : x
  2. Step 2: Convert to fraction form
    389,382.96/584,058.24 = 213,007.44/x
  3. Step 3: Cross multiply
    389,382.96x = 584,058.24 × 213,007.44
  4. Step 4: Simplify right side
    389,382.96x = 124,408,750,513.31
  5. Step 5: Solve for x
    x = 124,408,750,513.31/389,382.96
  6. Step 6: Final answer
    x = 319,502.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.