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Finding the Fourth Proportional to 385,561.65, 532,074.20 and 213,488.49

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Solution

The fourth proportional to 385,561.65, 532,074.20 and 213,488.49 is: 294,613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,561.65 : 532,074.20 = 213,488.49 : x
  2. Step 2: Convert to fraction form
    385,561.65/532,074.20 = 213,488.49/x
  3. Step 3: Cross multiply
    385,561.65x = 532,074.20 × 213,488.49
  4. Step 4: Simplify right side
    385,561.65x = 113,591,717,525.96
  5. Step 5: Solve for x
    x = 113,591,717,525.96/385,561.65
  6. Step 6: Final answer
    x = 294,613.63

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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.