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Finding the Fourth Proportional to 276,005.21, 414,009.23 and 83,881.44

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Solution

The fourth proportional to 276,005.21, 414,009.23 and 83,881.44 is: 125,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,005.21 : 414,009.23 = 83,881.44 : x
  2. Step 2: Convert to fraction form
    276,005.21/414,009.23 = 83,881.44/x
  3. Step 3: Cross multiply
    276,005.21x = 414,009.23 × 83,881.44
  4. Step 4: Simplify right side
    276,005.21x = 34,727,689,966.28
  5. Step 5: Solve for x
    x = 34,727,689,966.28/276,005.21
  6. Step 6: Final answer
    x = 125,822.59

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1.5x scale

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.