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Finding the Fourth Proportional to 361,118.50, 498,342.72 and 208,155.68

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Solution

The fourth proportional to 361,118.50, 498,342.72 and 208,155.68 is: 287,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,118.50 : 498,342.72 = 208,155.68 : x
  2. Step 2: Convert to fraction form
    361,118.50/498,342.72 = 208,155.68/x
  3. Step 3: Cross multiply
    361,118.50x = 498,342.72 × 208,155.68
  4. Step 4: Simplify right side
    361,118.50x = 103,732,867,754.65
  5. Step 5: Solve for x
    x = 103,732,867,754.65/361,118.50
  6. Step 6: Final answer
    x = 287,254.37

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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.