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Finding the Fourth Proportional to 481,410, 722,131.74 and 228,560.40

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Solution

The fourth proportional to 481,410, 722,131.74 and 228,560.40 is: 342,848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,410 : 722,131.74 = 228,560.40 : x
  2. Step 2: Convert to fraction form
    481,410/722,131.74 = 228,560.40/x
  3. Step 3: Cross multiply
    481,410x = 722,131.74 × 228,560.40
  4. Step 4: Simplify right side
    481,410x = 165,050,719,347.10
  5. Step 5: Solve for x
    x = 165,050,719,347.10/481,410
  6. Step 6: Final answer
    x = 342,848.55

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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.