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Finding the Fourth Proportional to 503,838.54, 695,245.77 and 310,215.51

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Solution

The fourth proportional to 503,838.54, 695,245.77 and 310,215.51 is: 428,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,838.54 : 695,245.77 = 310,215.51 : x
  2. Step 2: Convert to fraction form
    503,838.54/695,245.77 = 310,215.51/x
  3. Step 3: Cross multiply
    503,838.54x = 695,245.77 × 310,215.51
  4. Step 4: Simplify right side
    503,838.54x = 215,676,021,115.89
  5. Step 5: Solve for x
    x = 215,676,021,115.89/503,838.54
  6. Step 6: Final answer
    x = 428,065.75

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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.