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Finding the Fourth Proportional to 390,339, 538,668.18 and 211,491

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Solution

The fourth proportional to 390,339, 538,668.18 and 211,491 is: 291,857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,339 : 538,668.18 = 211,491 : x
  2. Step 2: Convert to fraction form
    390,339/538,668.18 = 211,491/x
  3. Step 3: Cross multiply
    390,339x = 538,668.18 × 211,491
  4. Step 4: Simplify right side
    390,339x = 113,923,472,056.38
  5. Step 5: Solve for x
    x = 113,923,472,056.38/390,339
  6. Step 6: Final answer
    x = 291,857.78

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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.