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Finding the Fourth Proportional to 374,857.78, 517,315.62 and 205,091.92

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Solution

The fourth proportional to 374,857.78, 517,315.62 and 205,091.92 is: 283,033.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,857.78 : 517,315.62 = 205,091.92 : x
  2. Step 2: Convert to fraction form
    374,857.78/517,315.62 = 205,091.92/x
  3. Step 3: Cross multiply
    374,857.78x = 517,315.62 × 205,091.92
  4. Step 4: Simplify right side
    374,857.78x = 106,097,253,751.79
  5. Step 5: Solve for x
    x = 106,097,253,751.79/374,857.78
  6. Step 6: Final answer
    x = 283,033.35

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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.