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Finding the Fourth Proportional to 358,775.56, 495,112.80 and 205,820.43

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Solution

The fourth proportional to 358,775.56, 495,112.80 and 205,820.43 is: 284,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,775.56 : 495,112.80 = 205,820.43 : x
  2. Step 2: Convert to fraction form
    358,775.56/495,112.80 = 205,820.43/x
  3. Step 3: Cross multiply
    358,775.56x = 495,112.80 × 205,820.43
  4. Step 4: Simplify right side
    358,775.56x = 101,904,326,918.94
  5. Step 5: Solve for x
    x = 101,904,326,918.94/358,775.56
  6. Step 6: Final answer
    x = 284,033.64

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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.