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Finding the Fourth Proportional to 361,117.26, 498,341 and 208,154.43

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Solution

The fourth proportional to 361,117.26, 498,341 and 208,154.43 is: 287,252.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,117.26 : 498,341 = 208,154.43 : x
  2. Step 2: Convert to fraction form
    361,117.26/498,341 = 208,154.43/x
  3. Step 3: Cross multiply
    361,117.26x = 498,341 × 208,154.43
  4. Step 4: Simplify right side
    361,117.26x = 103,731,886,800.63
  5. Step 5: Solve for x
    x = 103,731,886,800.63/361,117.26
  6. Step 6: Final answer
    x = 287,252.65

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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.