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Finding the Fourth Proportional to 394,164, 543,946.32 and 215,316

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Solution

The fourth proportional to 394,164, 543,946.32 and 215,316 is: 297,136.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,164 : 543,946.32 = 215,316 : x
  2. Step 2: Convert to fraction form
    394,164/543,946.32 = 215,316/x
  3. Step 3: Cross multiply
    394,164x = 543,946.32 × 215,316
  4. Step 4: Simplify right side
    394,164x = 117,120,345,837.12
  5. Step 5: Solve for x
    x = 117,120,345,837.12/394,164
  6. Step 6: Final answer
    x = 297,136.08

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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.