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Finding the Fourth Proportional to 399,487.30, 551,289.68 and 218,199.28

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Solution

The fourth proportional to 399,487.30, 551,289.68 and 218,199.28 is: 301,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,487.30 : 551,289.68 = 218,199.28 : x
  2. Step 2: Convert to fraction form
    399,487.30/551,289.68 = 218,199.28/x
  3. Step 3: Cross multiply
    399,487.30x = 551,289.68 × 218,199.28
  4. Step 4: Simplify right side
    399,487.30x = 120,291,011,247.43
  5. Step 5: Solve for x
    x = 120,291,011,247.43/399,487.30
  6. Step 6: Final answer
    x = 301,113.48

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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.