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Finding the Fourth Proportional to 299,692.12, 449,759.40 and 141,920.32

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Solution

The fourth proportional to 299,692.12, 449,759.40 and 141,920.32 is: 212,985.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,692.12 : 449,759.40 = 141,920.32 : x
  2. Step 2: Convert to fraction form
    299,692.12/449,759.40 = 141,920.32/x
  3. Step 3: Cross multiply
    299,692.12x = 449,759.40 × 141,920.32
  4. Step 4: Simplify right side
    299,692.12x = 63,829,997,971.01
  5. Step 5: Solve for x
    x = 63,829,997,971.01/299,692.12
  6. Step 6: Final answer
    x = 212,985.24

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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.