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Finding the Fourth Proportional to 258,580.80, 387,884.16 and 92,368.80

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Solution

The fourth proportional to 258,580.80, 387,884.16 and 92,368.80 is: 138,557.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,580.80 : 387,884.16 = 92,368.80 : x
  2. Step 2: Convert to fraction form
    258,580.80/387,884.16 = 92,368.80/x
  3. Step 3: Cross multiply
    258,580.80x = 387,884.16 × 92,368.80
  4. Step 4: Simplify right side
    258,580.80x = 35,828,394,398.21
  5. Step 5: Solve for x
    x = 35,828,394,398.21/258,580.80
  6. Step 6: Final answer
    x = 138,557.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.