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Finding the Fourth Proportional to 276,431.40, 414,647.10 and 136,463.40

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Solution

The fourth proportional to 276,431.40, 414,647.10 and 136,463.40 is: 204,695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,431.40 : 414,647.10 = 136,463.40 : x
  2. Step 2: Convert to fraction form
    276,431.40/414,647.10 = 136,463.40/x
  3. Step 3: Cross multiply
    276,431.40x = 414,647.10 × 136,463.40
  4. Step 4: Simplify right side
    276,431.40x = 56,584,153,066.14
  5. Step 5: Solve for x
    x = 56,584,153,066.14/276,431.40
  6. Step 6: Final answer
    x = 204,695.10

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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.