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Finding the Fourth Proportional to 284,138.01, 392,161.30 and 169,424.06

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Solution

The fourth proportional to 284,138.01, 392,161.30 and 169,424.06 is: 233,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,138.01 : 392,161.30 = 169,424.06 : x
  2. Step 2: Convert to fraction form
    284,138.01/392,161.30 = 169,424.06/x
  3. Step 3: Cross multiply
    284,138.01x = 392,161.30 × 169,424.06
  4. Step 4: Simplify right side
    284,138.01x = 66,441,557,236.51
  5. Step 5: Solve for x
    x = 66,441,557,236.51/284,138.01
  6. Step 6: Final answer
    x = 233,835.51

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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.