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Finding the Fourth Proportional to 385,846.72, 532,456.08 and 213,757.64

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Solution

The fourth proportional to 385,846.72, 532,456.08 and 213,757.64 is: 294,978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,846.72 : 532,456.08 = 213,757.64 : x
  2. Step 2: Convert to fraction form
    385,846.72/532,456.08 = 213,757.64/x
  3. Step 3: Cross multiply
    385,846.72x = 532,456.08 × 213,757.64
  4. Step 4: Simplify right side
    385,846.72x = 113,816,555,064.45
  5. Step 5: Solve for x
    x = 113,816,555,064.45/385,846.72
  6. Step 6: Final answer
    x = 294,978.68

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1.5x scale

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.