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Finding the Fourth Proportional to 399,708.56, 551,574.57 and 218,421.98

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Solution

The fourth proportional to 399,708.56, 551,574.57 and 218,421.98 is: 301,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,708.56 : 551,574.57 = 218,421.98 : x
  2. Step 2: Convert to fraction form
    399,708.56/551,574.57 = 218,421.98/x
  3. Step 3: Cross multiply
    399,708.56x = 551,574.57 × 218,421.98
  4. Step 4: Simplify right side
    399,708.56x = 120,476,009,826.66
  5. Step 5: Solve for x
    x = 120,476,009,826.66/399,708.56
  6. Step 6: Final answer
    x = 301,409.63

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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.