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Finding the Fourth Proportional to 361,109.61, 498,288.86 and 208,146.05

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Solution

The fourth proportional to 361,109.61, 498,288.86 and 208,146.05 is: 287,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,109.61 : 498,288.86 = 208,146.05 : x
  2. Step 2: Convert to fraction form
    361,109.61/498,288.86 = 208,146.05/x
  3. Step 3: Cross multiply
    361,109.61x = 498,288.86 × 208,146.05
  4. Step 4: Simplify right side
    361,109.61x = 103,716,855,996.92
  5. Step 5: Solve for x
    x = 103,716,855,996.92/361,109.61
  6. Step 6: Final answer
    x = 287,217.10

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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.