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Finding the Fourth Proportional to 276,468.10, 414,374.10 and 143,279.80

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Solution

The fourth proportional to 276,468.10, 414,374.10 and 143,279.80 is: 214,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,468.10 : 414,374.10 = 143,279.80 : x
  2. Step 2: Convert to fraction form
    276,468.10/414,374.10 = 143,279.80/x
  3. Step 3: Cross multiply
    276,468.10x = 414,374.10 × 143,279.80
  4. Step 4: Simplify right side
    276,468.10x = 59,371,438,173.18
  5. Step 5: Solve for x
    x = 59,371,438,173.18/276,468.10
  6. Step 6: Final answer
    x = 214,749.69

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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.