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Finding the Fourth Proportional to 515,255.98, 711,094.53 and 285,835.90

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Solution

The fourth proportional to 515,255.98, 711,094.53 and 285,835.90 is: 394,476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,255.98 : 711,094.53 = 285,835.90 : x
  2. Step 2: Convert to fraction form
    515,255.98/711,094.53 = 285,835.90/x
  3. Step 3: Cross multiply
    515,255.98x = 711,094.53 × 285,835.90
  4. Step 4: Simplify right side
    515,255.98x = 203,256,344,967.63
  5. Step 5: Solve for x
    x = 203,256,344,967.63/515,255.98
  6. Step 6: Final answer
    x = 394,476.44

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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.