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Finding the Fourth Proportional to 291,713.88, 438,361.38 and 158,692.44

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Solution

The fourth proportional to 291,713.88, 438,361.38 and 158,692.44 is: 238,468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,713.88 : 438,361.38 = 158,692.44 : x
  2. Step 2: Convert to fraction form
    291,713.88/438,361.38 = 158,692.44/x
  3. Step 3: Cross multiply
    291,713.88x = 438,361.38 × 158,692.44
  4. Step 4: Simplify right side
    291,713.88x = 69,564,636,993.97
  5. Step 5: Solve for x
    x = 69,564,636,993.97/291,713.88
  6. Step 6: Final answer
    x = 238,468.72

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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.