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Finding the Fourth Proportional to 343,683.86, 515,362.14 and 141,248.34

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Solution

The fourth proportional to 343,683.86, 515,362.14 and 141,248.34 is: 211,805.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,683.86 : 515,362.14 = 141,248.34 : x
  2. Step 2: Convert to fraction form
    343,683.86/515,362.14 = 141,248.34/x
  3. Step 3: Cross multiply
    343,683.86x = 515,362.14 × 141,248.34
  4. Step 4: Simplify right side
    343,683.86x = 72,794,046,773.85
  5. Step 5: Solve for x
    x = 72,794,046,773.85/343,683.86
  6. Step 6: Final answer
    x = 211,805.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.