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Finding the Fourth Proportional to 284,684.33, 392,864.46 and 155,623.37

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Solution

The fourth proportional to 284,684.33, 392,864.46 and 155,623.37 is: 214,760.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,684.33 : 392,864.46 = 155,623.37 : x
  2. Step 2: Convert to fraction form
    284,684.33/392,864.46 = 155,623.37/x
  3. Step 3: Cross multiply
    284,684.33x = 392,864.46 × 155,623.37
  4. Step 4: Simplify right side
    284,684.33x = 61,138,891,218.43
  5. Step 5: Solve for x
    x = 61,138,891,218.43/284,684.33
  6. Step 6: Final answer
    x = 214,760.30

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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.