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Finding the Fourth Proportional to 459,850.52, 689,879.60 and 140,031

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Solution

The fourth proportional to 459,850.52, 689,879.60 and 140,031 is: 210,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,850.52 : 689,879.60 = 140,031 : x
  2. Step 2: Convert to fraction form
    459,850.52/689,879.60 = 140,031/x
  3. Step 3: Cross multiply
    459,850.52x = 689,879.60 × 140,031
  4. Step 4: Simplify right side
    459,850.52x = 96,604,530,267.60
  5. Step 5: Solve for x
    x = 96,604,530,267.60/459,850.52
  6. Step 6: Final answer
    x = 210,078.11

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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.