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Finding the Fourth Proportional to 515,690.62, 711,665.32 and 289,352.86

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Solution

The fourth proportional to 515,690.62, 711,665.32 and 289,352.86 is: 399,313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,690.62 : 711,665.32 = 289,352.86 : x
  2. Step 2: Convert to fraction form
    515,690.62/711,665.32 = 289,352.86/x
  3. Step 3: Cross multiply
    515,690.62x = 711,665.32 × 289,352.86
  4. Step 4: Simplify right side
    515,690.62x = 205,922,395,704.82
  5. Step 5: Solve for x
    x = 205,922,395,704.82/515,690.62
  6. Step 6: Final answer
    x = 399,313.83

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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.