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Finding the Fourth Proportional to 358,891.22, 495,281.10 and 205,957.40

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Solution

The fourth proportional to 358,891.22, 495,281.10 and 205,957.40 is: 284,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,891.22 : 495,281.10 = 205,957.40 : x
  2. Step 2: Convert to fraction form
    358,891.22/495,281.10 = 205,957.40/x
  3. Step 3: Cross multiply
    358,891.22x = 495,281.10 × 205,957.40
  4. Step 4: Simplify right side
    358,891.22x = 102,006,807,625.14
  5. Step 5: Solve for x
    x = 102,006,807,625.14/358,891.22
  6. Step 6: Final answer
    x = 284,227.65

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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.