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Finding the Fourth Proportional to 276,498.40, 414,747.60 and 136,530.40

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Solution

The fourth proportional to 276,498.40, 414,747.60 and 136,530.40 is: 204,795.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,498.40 : 414,747.60 = 136,530.40 : x
  2. Step 2: Convert to fraction form
    276,498.40/414,747.60 = 136,530.40/x
  3. Step 3: Cross multiply
    276,498.40x = 414,747.60 × 136,530.40
  4. Step 4: Simplify right side
    276,498.40x = 56,625,655,727.04
  5. Step 5: Solve for x
    x = 56,625,655,727.04/276,498.40
  6. Step 6: Final answer
    x = 204,795.60

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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.