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Finding the Fourth Proportional to 505,115.22, 697,818.12 and 331,098.47

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Solution

The fourth proportional to 505,115.22, 697,818.12 and 331,098.47 is: 457,413.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,115.22 : 697,818.12 = 331,098.47 : x
  2. Step 2: Convert to fraction form
    505,115.22/697,818.12 = 331,098.47/x
  3. Step 3: Cross multiply
    505,115.22x = 697,818.12 × 331,098.47
  4. Step 4: Simplify right side
    505,115.22x = 231,046,509,756.39
  5. Step 5: Solve for x
    x = 231,046,509,756.39/505,115.22
  6. Step 6: Final answer
    x = 457,413.47

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1.5x scale

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.