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Finding the Fourth Proportional to 456,054.48, 684,083.34 and 140,509.80

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Solution

The fourth proportional to 456,054.48, 684,083.34 and 140,509.80 is: 210,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,054.48 : 684,083.34 = 140,509.80 : x
  2. Step 2: Convert to fraction form
    456,054.48/684,083.34 = 140,509.80/x
  3. Step 3: Cross multiply
    456,054.48x = 684,083.34 × 140,509.80
  4. Step 4: Simplify right side
    456,054.48x = 96,120,413,286.73
  5. Step 5: Solve for x
    x = 96,120,413,286.73/456,054.48
  6. Step 6: Final answer
    x = 210,765.20

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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.