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Finding the Fourth Proportional to 291,221.40, 436,832.10 and 172,831.80

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Solution

The fourth proportional to 291,221.40, 436,832.10 and 172,831.80 is: 259,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,221.40 : 436,832.10 = 172,831.80 : x
  2. Step 2: Convert to fraction form
    291,221.40/436,832.10 = 172,831.80/x
  3. Step 3: Cross multiply
    291,221.40x = 436,832.10 × 172,831.80
  4. Step 4: Simplify right side
    291,221.40x = 75,498,478,140.78
  5. Step 5: Solve for x
    x = 75,498,478,140.78/291,221.40
  6. Step 6: Final answer
    x = 259,247.70

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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.