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Finding the Fourth Proportional to 284,361.59, 392,238.76 and 216,229.20

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Solution

The fourth proportional to 284,361.59, 392,238.76 and 216,229.20 is: 298,259.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,361.59 : 392,238.76 = 216,229.20 : x
  2. Step 2: Convert to fraction form
    284,361.59/392,238.76 = 216,229.20/x
  3. Step 3: Cross multiply
    284,361.59x = 392,238.76 × 216,229.20
  4. Step 4: Simplify right side
    284,361.59x = 84,813,471,322.60
  5. Step 5: Solve for x
    x = 84,813,471,322.60/284,361.59
  6. Step 6: Final answer
    x = 298,259.24

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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.