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Finding the Fourth Proportional to 309,112.20, 463,668.30 and 109,657.80

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Solution

The fourth proportional to 309,112.20, 463,668.30 and 109,657.80 is: 164,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,112.20 : 463,668.30 = 109,657.80 : x
  2. Step 2: Convert to fraction form
    309,112.20/463,668.30 = 109,657.80/x
  3. Step 3: Cross multiply
    309,112.20x = 463,668.30 × 109,657.80
  4. Step 4: Simplify right side
    309,112.20x = 50,844,845,707.74
  5. Step 5: Solve for x
    x = 50,844,845,707.74/309,112.20
  6. Step 6: Final answer
    x = 164,486.70

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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.