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Finding the Fourth Proportional to 389,117, 536,981.46 and 210,269

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Solution

The fourth proportional to 389,117, 536,981.46 and 210,269 is: 290,171.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,117 : 536,981.46 = 210,269 : x
  2. Step 2: Convert to fraction form
    389,117/536,981.46 = 210,269/x
  3. Step 3: Cross multiply
    389,117x = 536,981.46 × 210,269
  4. Step 4: Simplify right side
    389,117x = 112,910,554,612.74
  5. Step 5: Solve for x
    x = 112,910,554,612.74/389,117
  6. Step 6: Final answer
    x = 290,171.22

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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.