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Finding the Fourth Proportional to 271,930.40, 407,895.60 and 145,959.20

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Solution

The fourth proportional to 271,930.40, 407,895.60 and 145,959.20 is: 218,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,930.40 : 407,895.60 = 145,959.20 : x
  2. Step 2: Convert to fraction form
    271,930.40/407,895.60 = 145,959.20/x
  3. Step 3: Cross multiply
    271,930.40x = 407,895.60 × 145,959.20
  4. Step 4: Simplify right side
    271,930.40x = 59,536,115,459.52
  5. Step 5: Solve for x
    x = 59,536,115,459.52/271,930.40
  6. Step 6: Final answer
    x = 218,938.80

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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.