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Finding the Fourth Proportional to 525,853.26, 726,027.84 and 311,062.32

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Solution

The fourth proportional to 525,853.26, 726,027.84 and 311,062.32 is: 429,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,853.26 : 726,027.84 = 311,062.32 : x
  2. Step 2: Convert to fraction form
    525,853.26/726,027.84 = 311,062.32/x
  3. Step 3: Cross multiply
    525,853.26x = 726,027.84 × 311,062.32
  4. Step 4: Simplify right side
    525,853.26x = 225,839,904,294.99
  5. Step 5: Solve for x
    x = 225,839,904,294.99/525,853.26
  6. Step 6: Final answer
    x = 429,473.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.