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Finding the Fourth Proportional to 284,361.21, 392,238.24 and 216,228.82

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Solution

The fourth proportional to 284,361.21, 392,238.24 and 216,228.82 is: 298,258.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,361.21 : 392,238.24 = 216,228.82 : x
  2. Step 2: Convert to fraction form
    284,361.21/392,238.24 = 216,228.82/x
  3. Step 3: Cross multiply
    284,361.21x = 392,238.24 × 216,228.82
  4. Step 4: Simplify right side
    284,361.21x = 84,813,210,813.48
  5. Step 5: Solve for x
    x = 84,813,210,813.48/284,361.21
  6. Step 6: Final answer
    x = 298,258.72

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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.