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Finding the Fourth Proportional to 277,402, 382,866.68 and 158,170

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Solution

The fourth proportional to 277,402, 382,866.68 and 158,170 is: 218,304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,402 : 382,866.68 = 158,170 : x
  2. Step 2: Convert to fraction form
    277,402/382,866.68 = 158,170/x
  3. Step 3: Cross multiply
    277,402x = 382,866.68 × 158,170
  4. Step 4: Simplify right side
    277,402x = 60,558,022,775.60
  5. Step 5: Solve for x
    x = 60,558,022,775.60/277,402
  6. Step 6: Final answer
    x = 218,304.20

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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.