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Finding the Fourth Proportional to 515,056.62, 710,765.02 and 285,610.26

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Solution

The fourth proportional to 515,056.62, 710,765.02 and 285,610.26 is: 394,134.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,056.62 : 710,765.02 = 285,610.26 : x
  2. Step 2: Convert to fraction form
    515,056.62/710,765.02 = 285,610.26/x
  3. Step 3: Cross multiply
    515,056.62x = 710,765.02 × 285,610.26
  4. Step 4: Simplify right side
    515,056.62x = 203,001,782,161.11
  5. Step 5: Solve for x
    x = 203,001,782,161.11/515,056.62
  6. Step 6: Final answer
    x = 394,134.89

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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.