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Finding the Fourth Proportional to 399,783.92, 551,714.50 and 218,491.87

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Solution

The fourth proportional to 399,783.92, 551,714.50 and 218,491.87 is: 301,525.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,783.92 : 551,714.50 = 218,491.87 : x
  2. Step 2: Convert to fraction form
    399,783.92/551,714.50 = 218,491.87/x
  3. Step 3: Cross multiply
    399,783.92x = 551,714.50 × 218,491.87
  4. Step 4: Simplify right side
    399,783.92x = 120,545,132,811.12
  5. Step 5: Solve for x
    x = 120,545,132,811.12/399,783.92
  6. Step 6: Final answer
    x = 301,525.72

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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.