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Finding the Fourth Proportional to 284,716.31, 392,896.32 and 155,652.40

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Solution

The fourth proportional to 284,716.31, 392,896.32 and 155,652.40 is: 214,793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,716.31 : 392,896.32 = 155,652.40 : x
  2. Step 2: Convert to fraction form
    284,716.31/392,896.32 = 155,652.40/x
  3. Step 3: Cross multiply
    284,716.31x = 392,896.32 × 155,652.40
  4. Step 4: Simplify right side
    284,716.31x = 61,155,253,194.69
  5. Step 5: Solve for x
    x = 61,155,253,194.69/284,716.31
  6. Step 6: Final answer
    x = 214,793.64

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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.