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Finding the Fourth Proportional to 551,213.69, 826,429.61 and 213,970.09

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Solution

The fourth proportional to 551,213.69, 826,429.61 and 213,970.09 is: 320,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,213.69 : 826,429.61 = 213,970.09 : x
  2. Step 2: Convert to fraction form
    551,213.69/826,429.61 = 213,970.09/x
  3. Step 3: Cross multiply
    551,213.69x = 826,429.61 × 213,970.09
  4. Step 4: Simplify right side
    551,213.69x = 176,831,217,446.98
  5. Step 5: Solve for x
    x = 176,831,217,446.98/551,213.69
  6. Step 6: Final answer
    x = 320,803.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.