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Finding the Fourth Proportional to 276,264.96, 414,056.48 and 143,068.56

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Solution

The fourth proportional to 276,264.96, 414,056.48 and 143,068.56 is: 214,426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,264.96 : 414,056.48 = 143,068.56 : x
  2. Step 2: Convert to fraction form
    276,264.96/414,056.48 = 143,068.56/x
  3. Step 3: Cross multiply
    276,264.96x = 414,056.48 × 143,068.56
  4. Step 4: Simplify right side
    276,264.96x = 59,238,464,352.27
  5. Step 5: Solve for x
    x = 59,238,464,352.27/276,264.96
  6. Step 6: Final answer
    x = 214,426.27

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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.