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Finding the Fourth Proportional to 390,081.71, 538,244.30 and 217,944.65

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Solution

The fourth proportional to 390,081.71, 538,244.30 and 217,944.65 is: 300,725.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,081.71 : 538,244.30 = 217,944.65 : x
  2. Step 2: Convert to fraction form
    390,081.71/538,244.30 = 217,944.65/x
  3. Step 3: Cross multiply
    390,081.71x = 538,244.30 × 217,944.65
  4. Step 4: Simplify right side
    390,081.71x = 117,307,467,468.47
  5. Step 5: Solve for x
    x = 117,307,467,468.47/390,081.71
  6. Step 6: Final answer
    x = 300,725.37

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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.