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Finding the Fourth Proportional to 515,101.10, 710,841.55 and 285,679.70

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Solution

The fourth proportional to 515,101.10, 710,841.55 and 285,679.70 is: 394,239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,101.10 : 710,841.55 = 285,679.70 : x
  2. Step 2: Convert to fraction form
    515,101.10/710,841.55 = 285,679.70/x
  3. Step 3: Cross multiply
    515,101.10x = 710,841.55 × 285,679.70
  4. Step 4: Simplify right side
    515,101.10x = 203,073,000,751.54
  5. Step 5: Solve for x
    x = 203,073,000,751.54/515,101.10
  6. Step 6: Final answer
    x = 394,239.12

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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.