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Finding the Fourth Proportional to 515,259.25, 711,069.16 and 285,809.06

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Solution

The fourth proportional to 515,259.25, 711,069.16 and 285,809.06 is: 394,422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,259.25 : 711,069.16 = 285,809.06 : x
  2. Step 2: Convert to fraction form
    515,259.25/711,069.16 = 285,809.06/x
  3. Step 3: Cross multiply
    515,259.25x = 711,069.16 × 285,809.06
  4. Step 4: Simplify right side
    515,259.25x = 203,230,011,318.40
  5. Step 5: Solve for x
    x = 203,230,011,318.40/515,259.25
  6. Step 6: Final answer
    x = 394,422.83

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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.