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Finding the Fourth Proportional to 228,835.71, 343,276.31 and 84,780.07

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Solution

The fourth proportional to 228,835.71, 343,276.31 and 84,780.07 is: 127,178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,835.71 : 343,276.31 = 84,780.07 : x
  2. Step 2: Convert to fraction form
    228,835.71/343,276.31 = 84,780.07/x
  3. Step 3: Cross multiply
    228,835.71x = 343,276.31 × 84,780.07
  4. Step 4: Simplify right side
    228,835.71x = 29,102,988,944.90
  5. Step 5: Solve for x
    x = 29,102,988,944.90/228,835.71
  6. Step 6: Final answer
    x = 127,178.53

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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.