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Finding the Fourth Proportional to 340,243.74, 510,389.10 and 115,512.48

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Solution

The fourth proportional to 340,243.74, 510,389.10 and 115,512.48 is: 173,276.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,243.74 : 510,389.10 = 115,512.48 : x
  2. Step 2: Convert to fraction form
    340,243.74/510,389.10 = 115,512.48/x
  3. Step 3: Cross multiply
    340,243.74x = 510,389.10 × 115,512.48
  4. Step 4: Simplify right side
    340,243.74x = 58,956,310,705.97
  5. Step 5: Solve for x
    x = 58,956,310,705.97/340,243.74
  6. Step 6: Final answer
    x = 173,276.69

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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.