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Finding the Fourth Proportional to 284,948.03, 393,194.03 and 164,128.61

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Solution

The fourth proportional to 284,948.03, 393,194.03 and 164,128.61 is: 226,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,948.03 : 393,194.03 = 164,128.61 : x
  2. Step 2: Convert to fraction form
    284,948.03/393,194.03 = 164,128.61/x
  3. Step 3: Cross multiply
    284,948.03x = 393,194.03 × 164,128.61
  4. Step 4: Simplify right side
    284,948.03x = 64,534,386,817.59
  5. Step 5: Solve for x
    x = 64,534,386,817.59/284,948.03
  6. Step 6: Final answer
    x = 226,477.75

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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.