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Finding the Fourth Proportional to 390,195, 538,469.10 and 211,347

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Solution

The fourth proportional to 390,195, 538,469.10 and 211,347 is: 291,658.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,195 : 538,469.10 = 211,347 : x
  2. Step 2: Convert to fraction form
    390,195/538,469.10 = 211,347/x
  3. Step 3: Cross multiply
    390,195x = 538,469.10 × 211,347
  4. Step 4: Simplify right side
    390,195x = 113,803,828,877.70
  5. Step 5: Solve for x
    x = 113,803,828,877.70/390,195
  6. Step 6: Final answer
    x = 291,658.86

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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.