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Finding the Fourth Proportional to 243,403.29, 364,216.82 and 143,611.29

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Solution

The fourth proportional to 243,403.29, 364,216.82 and 143,611.29 is: 214,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,403.29 : 364,216.82 = 143,611.29 : x
  2. Step 2: Convert to fraction form
    243,403.29/364,216.82 = 143,611.29/x
  3. Step 3: Cross multiply
    243,403.29x = 364,216.82 × 143,611.29
  4. Step 4: Simplify right side
    243,403.29x = 52,305,646,641.84
  5. Step 5: Solve for x
    x = 52,305,646,641.84/243,403.29
  6. Step 6: Final answer
    x = 214,892.93

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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.