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Finding the Fourth Proportional to 276,092.16, 381,005.28 and 156,860.16

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Solution

The fourth proportional to 276,092.16, 381,005.28 and 156,860.16 is: 216,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,092.16 : 381,005.28 = 156,860.16 : x
  2. Step 2: Convert to fraction form
    276,092.16/381,005.28 = 156,860.16/x
  3. Step 3: Cross multiply
    276,092.16x = 381,005.28 × 156,860.16
  4. Step 4: Simplify right side
    276,092.16x = 59,764,549,181.64
  5. Step 5: Solve for x
    x = 59,764,549,181.64/276,092.16
  6. Step 6: Final answer
    x = 216,465.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.