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Finding the Fourth Proportional to 400,508.47, 600,686.14 and 120,025.72

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Solution

The fourth proportional to 400,508.47, 600,686.14 and 120,025.72 is: 180,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,508.47 : 600,686.14 = 120,025.72 : x
  2. Step 2: Convert to fraction form
    400,508.47/600,686.14 = 120,025.72/x
  3. Step 3: Cross multiply
    400,508.47x = 600,686.14 × 120,025.72
  4. Step 4: Simplify right side
    400,508.47x = 72,097,782,843.96
  5. Step 5: Solve for x
    x = 72,097,782,843.96/400,508.47
  6. Step 6: Final answer
    x = 180,015.63

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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.