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Finding the Fourth Proportional to 504,079.40, 695,642.10 and 310,413.80

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Solution

The fourth proportional to 504,079.40, 695,642.10 and 310,413.80 is: 428,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,079.40 : 695,642.10 = 310,413.80 : x
  2. Step 2: Convert to fraction form
    504,079.40/695,642.10 = 310,413.80/x
  3. Step 3: Cross multiply
    504,079.40x = 695,642.10 × 310,413.80
  4. Step 4: Simplify right side
    504,079.40x = 215,936,907,700.98
  5. Step 5: Solve for x
    x = 215,936,907,700.98/504,079.40
  6. Step 6: Final answer
    x = 428,378.76

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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.