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Finding the Fourth Proportional to 268,408.34, 370,411.80 and 147,558.86

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Solution

The fourth proportional to 268,408.34, 370,411.80 and 147,558.86 is: 203,635.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,408.34 : 370,411.80 = 147,558.86 : x
  2. Step 2: Convert to fraction form
    268,408.34/370,411.80 = 147,558.86/x
  3. Step 3: Cross multiply
    268,408.34x = 370,411.80 × 147,558.86
  4. Step 4: Simplify right side
    268,408.34x = 54,657,542,938.55
  5. Step 5: Solve for x
    x = 54,657,542,938.55/268,408.34
  6. Step 6: Final answer
    x = 203,635.78

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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.