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Finding the Fourth Proportional to 276,428.16, 381,468.48 and 157,196.16

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Solution

The fourth proportional to 276,428.16, 381,468.48 and 157,196.16 is: 216,929.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,428.16 : 381,468.48 = 157,196.16 : x
  2. Step 2: Convert to fraction form
    276,428.16/381,468.48 = 157,196.16/x
  3. Step 3: Cross multiply
    276,428.16x = 381,468.48 × 157,196.16
  4. Step 4: Simplify right side
    276,428.16x = 59,965,380,217.04
  5. Step 5: Solve for x
    x = 59,965,380,217.04/276,428.16
  6. Step 6: Final answer
    x = 216,929.35

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1.5x scale

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.