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Finding the Fourth Proportional to 399,419.50, 551,203.32 and 218,136.77

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Solution

The fourth proportional to 399,419.50, 551,203.32 and 218,136.77 is: 301,031.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,419.50 : 551,203.32 = 218,136.77 : x
  2. Step 2: Convert to fraction form
    399,419.50/551,203.32 = 218,136.77/x
  3. Step 3: Cross multiply
    399,419.50x = 551,203.32 × 218,136.77
  4. Step 4: Simplify right side
    399,419.50x = 120,237,711,838.08
  5. Step 5: Solve for x
    x = 120,237,711,838.08/399,419.50
  6. Step 6: Final answer
    x = 301,031.15

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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.