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Finding the Fourth Proportional to 340,464.89, 510,032.97 and 265,232.78

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Solution

The fourth proportional to 340,464.89, 510,032.97 and 265,232.78 is: 397,331.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,464.89 : 510,032.97 = 265,232.78 : x
  2. Step 2: Convert to fraction form
    340,464.89/510,032.97 = 265,232.78/x
  3. Step 3: Cross multiply
    340,464.89x = 510,032.97 × 265,232.78
  4. Step 4: Simplify right side
    340,464.89x = 135,277,463,799.84
  5. Step 5: Solve for x
    x = 135,277,463,799.84/340,464.89
  6. Step 6: Final answer
    x = 397,331.61

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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.