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Finding the Fourth Proportional to 389,854, 538,000.14 and 211,006

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Solution

The fourth proportional to 389,854, 538,000.14 and 211,006 is: 291,189.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,854 : 538,000.14 = 211,006 : x
  2. Step 2: Convert to fraction form
    389,854/538,000.14 = 211,006/x
  3. Step 3: Cross multiply
    389,854x = 538,000.14 × 211,006
  4. Step 4: Simplify right side
    389,854x = 113,521,257,540.84
  5. Step 5: Solve for x
    x = 113,521,257,540.84/389,854
  6. Step 6: Final answer
    x = 291,189.16

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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.