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Finding the Fourth Proportional to 543,184.31, 814,682.49 and 143,830.82

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Solution

The fourth proportional to 543,184.31, 814,682.49 and 143,830.82 is: 215,721.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,184.31 : 814,682.49 = 143,830.82 : x
  2. Step 2: Convert to fraction form
    543,184.31/814,682.49 = 143,830.82/x
  3. Step 3: Cross multiply
    543,184.31x = 814,682.49 × 143,830.82
  4. Step 4: Simplify right side
    543,184.31x = 117,176,446,502.93
  5. Step 5: Solve for x
    x = 117,176,446,502.93/543,184.31
  6. Step 6: Final answer
    x = 215,721.34

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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.