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Finding the Fourth Proportional to 399,506.86, 551,315.80 and 218,218.74

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Solution

The fourth proportional to 399,506.86, 551,315.80 and 218,218.74 is: 301,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,506.86 : 551,315.80 = 218,218.74 : x
  2. Step 2: Convert to fraction form
    399,506.86/551,315.80 = 218,218.74/x
  3. Step 3: Cross multiply
    399,506.86x = 551,315.80 × 218,218.74
  4. Step 4: Simplify right side
    399,506.86x = 120,307,439,218.09
  5. Step 5: Solve for x
    x = 120,307,439,218.09/399,506.86
  6. Step 6: Final answer
    x = 301,139.86

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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.