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Finding the Fourth Proportional to 551,070.74, 826,614.87 and 209,519.37

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Solution

The fourth proportional to 551,070.74, 826,614.87 and 209,519.37 is: 314,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,070.74 : 826,614.87 = 209,519.37 : x
  2. Step 2: Convert to fraction form
    551,070.74/826,614.87 = 209,519.37/x
  3. Step 3: Cross multiply
    551,070.74x = 826,614.87 × 209,519.37
  4. Step 4: Simplify right side
    551,070.74x = 173,191,826,795.03
  5. Step 5: Solve for x
    x = 173,191,826,795.03/551,070.74
  6. Step 6: Final answer
    x = 314,282.39

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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.