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Finding the Fourth Proportional to 470,649.57, 649,500.71 and 255,790.19

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Solution

The fourth proportional to 470,649.57, 649,500.71 and 255,790.19 is: 352,992.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,649.57 : 649,500.71 = 255,790.19 : x
  2. Step 2: Convert to fraction form
    470,649.57/649,500.71 = 255,790.19/x
  3. Step 3: Cross multiply
    470,649.57x = 649,500.71 × 255,790.19
  4. Step 4: Simplify right side
    470,649.57x = 166,135,905,489.58
  5. Step 5: Solve for x
    x = 166,135,905,489.58/470,649.57
  6. Step 6: Final answer
    x = 352,992.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.