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Finding the Fourth Proportional to 540,328.80, 809,997.60 and 207,654.24

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Solution

The fourth proportional to 540,328.80, 809,997.60 and 207,654.24 is: 311,290.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,328.80 : 809,997.60 = 207,654.24 : x
  2. Step 2: Convert to fraction form
    540,328.80/809,997.60 = 207,654.24/x
  3. Step 3: Cross multiply
    540,328.80x = 809,997.60 × 207,654.24
  4. Step 4: Simplify right side
    540,328.80x = 168,199,436,029.82
  5. Step 5: Solve for x
    x = 168,199,436,029.82/540,328.80
  6. Step 6: Final answer
    x = 311,290.90

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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.