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Finding the Fourth Proportional to 299,480.47, 449,070.85 and 99,731.23

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Solution

The fourth proportional to 299,480.47, 449,070.85 and 99,731.23 is: 149,546.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,480.47 : 449,070.85 = 99,731.23 : x
  2. Step 2: Convert to fraction form
    299,480.47/449,070.85 = 99,731.23/x
  3. Step 3: Cross multiply
    299,480.47x = 449,070.85 × 99,731.23
  4. Step 4: Simplify right side
    299,480.47x = 44,786,385,483.64
  5. Step 5: Solve for x
    x = 44,786,385,483.64/299,480.47
  6. Step 6: Final answer
    x = 149,546.93

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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.