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Finding the Fourth Proportional to 408,530.86, 612,796.36 and 109,012.50

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Solution

The fourth proportional to 408,530.86, 612,796.36 and 109,012.50 is: 163,518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,530.86 : 612,796.36 = 109,012.50 : x
  2. Step 2: Convert to fraction form
    408,530.86/612,796.36 = 109,012.50/x
  3. Step 3: Cross multiply
    408,530.86x = 612,796.36 × 109,012.50
  4. Step 4: Simplify right side
    408,530.86x = 66,802,463,194.50
  5. Step 5: Solve for x
    x = 66,802,463,194.50/408,530.86
  6. Step 6: Final answer
    x = 163,518.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.