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Finding the Fourth Proportional to 551,507.30, 827,074.91 and 209,869.62

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Solution

The fourth proportional to 551,507.30, 827,074.91 and 209,869.62 is: 314,733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,507.30 : 827,074.91 = 209,869.62 : x
  2. Step 2: Convert to fraction form
    551,507.30/827,074.91 = 209,869.62/x
  3. Step 3: Cross multiply
    551,507.30x = 827,074.91 × 209,869.62
  4. Step 4: Simplify right side
    551,507.30x = 173,577,897,073.23
  5. Step 5: Solve for x
    x = 173,577,897,073.23/551,507.30
  6. Step 6: Final answer
    x = 314,733.64

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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.