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Finding the Fourth Proportional to 399,281.80, 551,014.23 and 217,991.65

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Solution

The fourth proportional to 399,281.80, 551,014.23 and 217,991.65 is: 300,831.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,281.80 : 551,014.23 = 217,991.65 : x
  2. Step 2: Convert to fraction form
    399,281.80/551,014.23 = 217,991.65/x
  3. Step 3: Cross multiply
    399,281.80x = 551,014.23 × 217,991.65
  4. Step 4: Simplify right side
    399,281.80x = 120,116,501,171.18
  5. Step 5: Solve for x
    x = 120,116,501,171.18/399,281.80
  6. Step 6: Final answer
    x = 300,831.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.