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Finding the Fourth Proportional to 277,448.49, 382,849.61 and 161,139.24

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Solution

The fourth proportional to 277,448.49, 382,849.61 and 161,139.24 is: 222,355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,448.49 : 382,849.61 = 161,139.24 : x
  2. Step 2: Convert to fraction form
    277,448.49/382,849.61 = 161,139.24/x
  3. Step 3: Cross multiply
    277,448.49x = 382,849.61 × 161,139.24
  4. Step 4: Simplify right side
    277,448.49x = 61,692,094,384.00
  5. Step 5: Solve for x
    x = 61,692,094,384.00/277,448.49
  6. Step 6: Final answer
    x = 222,355.13

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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.