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Finding the Fourth Proportional to 390,092, 538,326.96 and 211,244

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Solution

The fourth proportional to 390,092, 538,326.96 and 211,244 is: 291,516.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,092 : 538,326.96 = 211,244 : x
  2. Step 2: Convert to fraction form
    390,092/538,326.96 = 211,244/x
  3. Step 3: Cross multiply
    390,092x = 538,326.96 × 211,244
  4. Step 4: Simplify right side
    390,092x = 113,718,340,338.24
  5. Step 5: Solve for x
    x = 113,718,340,338.24/390,092
  6. Step 6: Final answer
    x = 291,516.72

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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.