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Finding the Fourth Proportional to 268,410.34, 370,414.56 and 147,560.86

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Solution

The fourth proportional to 268,410.34, 370,414.56 and 147,560.86 is: 203,638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,410.34 : 370,414.56 = 147,560.86 : x
  2. Step 2: Convert to fraction form
    268,410.34/370,414.56 = 147,560.86/x
  3. Step 3: Cross multiply
    268,410.34x = 370,414.56 × 147,560.86
  4. Step 4: Simplify right side
    268,410.34x = 54,658,691,030.12
  5. Step 5: Solve for x
    x = 54,658,691,030.12/268,410.34
  6. Step 6: Final answer
    x = 203,638.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.