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Finding the Fourth Proportional to 284,361.08, 392,238.07 and 216,228.69

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Solution

The fourth proportional to 284,361.08, 392,238.07 and 216,228.69 is: 298,258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,361.08 : 392,238.07 = 216,228.69 : x
  2. Step 2: Convert to fraction form
    284,361.08/392,238.07 = 216,228.69/x
  3. Step 3: Cross multiply
    284,361.08x = 392,238.07 × 216,228.69
  4. Step 4: Simplify right side
    284,361.08x = 84,813,125,024.82
  5. Step 5: Solve for x
    x = 84,813,125,024.82/284,361.08
  6. Step 6: Final answer
    x = 298,258.55

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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.