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Finding the Fourth Proportional to 313,514.60, 470,151.55 and 133,485.88

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Solution

The fourth proportional to 313,514.60, 470,151.55 and 133,485.88 is: 200,177.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,514.60 : 470,151.55 = 133,485.88 : x
  2. Step 2: Convert to fraction form
    313,514.60/470,151.55 = 133,485.88/x
  3. Step 3: Cross multiply
    313,514.60x = 470,151.55 × 133,485.88
  4. Step 4: Simplify right side
    313,514.60x = 62,758,594,580.43
  5. Step 5: Solve for x
    x = 62,758,594,580.43/313,514.60
  6. Step 6: Final answer
    x = 200,177.59

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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.