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Finding the Fourth Proportional to 360,076.82, 539,764.19 and 143,871.09

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Solution

The fourth proportional to 360,076.82, 539,764.19 and 143,871.09 is: 215,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,076.82 : 539,764.19 = 143,871.09 : x
  2. Step 2: Convert to fraction form
    360,076.82/539,764.19 = 143,871.09/x
  3. Step 3: Cross multiply
    360,076.82x = 539,764.19 × 143,871.09
  4. Step 4: Simplify right side
    360,076.82x = 77,656,461,638.91
  5. Step 5: Solve for x
    x = 77,656,461,638.91/360,076.82
  6. Step 6: Final answer
    x = 215,666.38

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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.