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Finding the Fourth Proportional to 367,665.40, 551,498.10 and 209,909.80

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Solution

The fourth proportional to 367,665.40, 551,498.10 and 209,909.80 is: 314,864.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,665.40 : 551,498.10 = 209,909.80 : x
  2. Step 2: Convert to fraction form
    367,665.40/551,498.10 = 209,909.80/x
  3. Step 3: Cross multiply
    367,665.40x = 551,498.10 × 209,909.80
  4. Step 4: Simplify right side
    367,665.40x = 115,764,855,871.38
  5. Step 5: Solve for x
    x = 115,764,855,871.38/367,665.40
  6. Step 6: Final answer
    x = 314,864.70

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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.