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Finding the Fourth Proportional to 399,709.71, 551,600.85 and 218,421.65

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Solution

The fourth proportional to 399,709.71, 551,600.85 and 218,421.65 is: 301,422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,709.71 : 551,600.85 = 218,421.65 : x
  2. Step 2: Convert to fraction form
    399,709.71/551,600.85 = 218,421.65/x
  3. Step 3: Cross multiply
    399,709.71x = 551,600.85 × 218,421.65
  4. Step 4: Simplify right side
    399,709.71x = 120,481,565,040.40
  5. Step 5: Solve for x
    x = 120,481,565,040.40/399,709.71
  6. Step 6: Final answer
    x = 301,422.66

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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.