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Finding the Fourth Proportional to 284,108.58, 392,072.13 and 155,048.07

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Solution

The fourth proportional to 284,108.58, 392,072.13 and 155,048.07 is: 213,967.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,108.58 : 392,072.13 = 155,048.07 : x
  2. Step 2: Convert to fraction form
    284,108.58/392,072.13 = 155,048.07/x
  3. Step 3: Cross multiply
    284,108.58x = 392,072.13 × 155,048.07
  4. Step 4: Simplify right side
    284,108.58x = 60,790,027,057.29
  5. Step 5: Solve for x
    x = 60,790,027,057.29/284,108.58
  6. Step 6: Final answer
    x = 213,967.59

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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.