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Finding the Fourth Proportional to 201,712.80, 290,839.68 and 201,712.80

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Solution

The fourth proportional to 201,712.80, 290,839.68 and 201,712.80 is: 290,839.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,712.80 : 290,839.68 = 201,712.80 : x
  2. Step 2: Convert to fraction form
    201,712.80/290,839.68 = 201,712.80/x
  3. Step 3: Cross multiply
    201,712.80x = 290,839.68 × 201,712.80
  4. Step 4: Simplify right side
    201,712.80x = 58,666,086,203.90
  5. Step 5: Solve for x
    x = 58,666,086,203.90/201,712.80
  6. Step 6: Final answer
    x = 290,839.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.