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Finding the Fourth Proportional to 407,321.58, 611,012.35 and 107,800.13

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Solution

The fourth proportional to 407,321.58, 611,012.35 and 107,800.13 is: 161,708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,321.58 : 611,012.35 = 107,800.13 : x
  2. Step 2: Convert to fraction form
    407,321.58/611,012.35 = 107,800.13/x
  3. Step 3: Cross multiply
    407,321.58x = 611,012.35 × 107,800.13
  4. Step 4: Simplify right side
    407,321.58x = 65,867,211,817.51
  5. Step 5: Solve for x
    x = 65,867,211,817.51/407,321.58
  6. Step 6: Final answer
    x = 161,708.13

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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.