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Finding the Fourth Proportional to 515,604.64, 711,539.24 and 289,255

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Solution

The fourth proportional to 515,604.64, 711,539.24 and 289,255 is: 399,174.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,604.64 : 711,539.24 = 289,255 : x
  2. Step 2: Convert to fraction form
    515,604.64/711,539.24 = 289,255/x
  3. Step 3: Cross multiply
    515,604.64x = 711,539.24 × 289,255
  4. Step 4: Simplify right side
    515,604.64x = 205,816,282,866.20
  5. Step 5: Solve for x
    x = 205,816,282,866.20/515,604.64
  6. Step 6: Final answer
    x = 399,174.61

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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.