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Finding the Fourth Proportional to 340,346.78, 510,580.97 and 115,695.41

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Solution

The fourth proportional to 340,346.78, 510,580.97 and 115,695.41 is: 173,563.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,346.78 : 510,580.97 = 115,695.41 : x
  2. Step 2: Convert to fraction form
    340,346.78/510,580.97 = 115,695.41/x
  3. Step 3: Cross multiply
    340,346.78x = 510,580.97 × 115,695.41
  4. Step 4: Simplify right side
    340,346.78x = 59,071,874,662.35
  5. Step 5: Solve for x
    x = 59,071,874,662.35/340,346.78
  6. Step 6: Final answer
    x = 173,563.78

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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.