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Finding the Fourth Proportional to 299,985.46, 449,978.22 and 120,152.55

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Solution

The fourth proportional to 299,985.46, 449,978.22 and 120,152.55 is: 180,228.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,985.46 : 449,978.22 = 120,152.55 : x
  2. Step 2: Convert to fraction form
    299,985.46/449,978.22 = 120,152.55/x
  3. Step 3: Cross multiply
    299,985.46x = 449,978.22 × 120,152.55
  4. Step 4: Simplify right side
    299,985.46x = 54,066,030,577.46
  5. Step 5: Solve for x
    x = 54,066,030,577.46/299,985.46
  6. Step 6: Final answer
    x = 180,228.84

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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.