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Finding the Fourth Proportional to 247,054, 371,076.90 and 147,408.64

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Solution

The fourth proportional to 247,054, 371,076.90 and 147,408.64 is: 221,408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,054 : 371,076.90 = 147,408.64 : x
  2. Step 2: Convert to fraction form
    247,054/371,076.90 = 147,408.64/x
  3. Step 3: Cross multiply
    247,054x = 371,076.90 × 147,408.64
  4. Step 4: Simplify right side
    247,054x = 54,699,941,164.42
  5. Step 5: Solve for x
    x = 54,699,941,164.42/247,054
  6. Step 6: Final answer
    x = 221,408.85

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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.