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Finding the Fourth Proportional to 277,140.82, 382,448.96 and 156,279.90

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Solution

The fourth proportional to 277,140.82, 382,448.96 and 156,279.90 is: 215,663.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,140.82 : 382,448.96 = 156,279.90 : x
  2. Step 2: Convert to fraction form
    277,140.82/382,448.96 = 156,279.90/x
  3. Step 3: Cross multiply
    277,140.82x = 382,448.96 × 156,279.90
  4. Step 4: Simplify right side
    277,140.82x = 59,769,085,223.90
  5. Step 5: Solve for x
    x = 59,769,085,223.90/277,140.82
  6. Step 6: Final answer
    x = 215,663.23

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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.