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Finding the Fourth Proportional to 407,659.82, 611,521.74 and 108,140.44

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Solution

The fourth proportional to 407,659.82, 611,521.74 and 108,140.44 is: 162,219.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,659.82 : 611,521.74 = 108,140.44 : x
  2. Step 2: Convert to fraction form
    407,659.82/611,521.74 = 108,140.44/x
  3. Step 3: Cross multiply
    407,659.82x = 611,521.74 × 108,140.44
  4. Step 4: Simplify right side
    407,659.82x = 66,130,230,033.17
  5. Step 5: Solve for x
    x = 66,130,230,033.17/407,659.82
  6. Step 6: Final answer
    x = 162,219.15

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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.