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Finding the Fourth Proportional to 543,643.40, 815,562.30 and 228,132.20

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Solution

The fourth proportional to 543,643.40, 815,562.30 and 228,132.20 is: 342,239.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,643.40 : 815,562.30 = 228,132.20 : x
  2. Step 2: Convert to fraction form
    543,643.40/815,562.30 = 228,132.20/x
  3. Step 3: Cross multiply
    543,643.40x = 815,562.30 × 228,132.20
  4. Step 4: Simplify right side
    543,643.40x = 186,056,021,736.06
  5. Step 5: Solve for x
    x = 186,056,021,736.06/543,643.40
  6. Step 6: Final answer
    x = 342,239.09

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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.