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Finding the Fourth Proportional to 389,943, 538,122.06 and 211,095

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Solution

The fourth proportional to 389,943, 538,122.06 and 211,095 is: 291,311.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,943 : 538,122.06 = 211,095 : x
  2. Step 2: Convert to fraction form
    389,943/538,122.06 = 211,095/x
  3. Step 3: Cross multiply
    389,943x = 538,122.06 × 211,095
  4. Step 4: Simplify right side
    389,943x = 113,594,876,255.70
  5. Step 5: Solve for x
    x = 113,594,876,255.70/389,943
  6. Step 6: Final answer
    x = 291,311.49

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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.