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Finding the Fourth Proportional to 503,959.32, 695,413.38 and 310,335.98

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Solution

The fourth proportional to 503,959.32, 695,413.38 and 310,335.98 is: 428,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,959.32 : 695,413.38 = 310,335.98 : x
  2. Step 2: Convert to fraction form
    503,959.32/695,413.38 = 310,335.98/x
  3. Step 3: Cross multiply
    503,959.32x = 695,413.38 × 310,335.98
  4. Step 4: Simplify right side
    503,959.32x = 215,811,790,474.11
  5. Step 5: Solve for x
    x = 215,811,790,474.11/503,959.32
  6. Step 6: Final answer
    x = 428,232.56

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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.