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Finding the Fourth Proportional to 386,167.64, 532,942.80 and 214,139.54

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Solution

The fourth proportional to 386,167.64, 532,942.80 and 214,139.54 is: 295,530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,167.64 : 532,942.80 = 214,139.54 : x
  2. Step 2: Convert to fraction form
    386,167.64/532,942.80 = 214,139.54/x
  3. Step 3: Cross multiply
    386,167.64x = 532,942.80 × 214,139.54
  4. Step 4: Simplify right side
    386,167.64x = 114,124,126,567.65
  5. Step 5: Solve for x
    x = 114,124,126,567.65/386,167.64
  6. Step 6: Final answer
    x = 295,530.01

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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.