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Finding the Fourth Proportional to 284,693.27, 392,876.79 and 155,632.31

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Solution

The fourth proportional to 284,693.27, 392,876.79 and 155,632.31 is: 214,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,693.27 : 392,876.79 = 155,632.31 : x
  2. Step 2: Convert to fraction form
    284,693.27/392,876.79 = 155,632.31/x
  3. Step 3: Cross multiply
    284,693.27x = 392,876.79 × 155,632.31
  4. Step 4: Simplify right side
    284,693.27x = 61,144,322,373.08
  5. Step 5: Solve for x
    x = 61,144,322,373.08/284,693.27
  6. Step 6: Final answer
    x = 214,772.63

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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.