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Finding the Fourth Proportional to 284,948.40, 393,194.54 and 164,128.98

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Solution

The fourth proportional to 284,948.40, 393,194.54 and 164,128.98 is: 226,478.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,948.40 : 393,194.54 = 164,128.98 : x
  2. Step 2: Convert to fraction form
    284,948.40/393,194.54 = 164,128.98/x
  3. Step 3: Cross multiply
    284,948.40x = 393,194.54 × 164,128.98
  4. Step 4: Simplify right side
    284,948.40x = 64,534,617,971.12
  5. Step 5: Solve for x
    x = 64,534,617,971.12/284,948.40
  6. Step 6: Final answer
    x = 226,478.26

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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.