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Finding the Fourth Proportional to 503,839.54, 695,247.15 and 310,216.51

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Solution

The fourth proportional to 503,839.54, 695,247.15 and 310,216.51 is: 428,067.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,839.54 : 695,247.15 = 310,216.51 : x
  2. Step 2: Convert to fraction form
    503,839.54/695,247.15 = 310,216.51/x
  3. Step 3: Cross multiply
    503,839.54x = 695,247.15 × 310,216.51
  4. Step 4: Simplify right side
    503,839.54x = 215,677,144,460.45
  5. Step 5: Solve for x
    x = 215,677,144,460.45/503,839.54
  6. Step 6: Final answer
    x = 428,067.13

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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.