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Finding the Fourth Proportional to 613,006.49, 919,514.85 and 213,646.61

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Solution

The fourth proportional to 613,006.49, 919,514.85 and 213,646.61 is: 320,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,006.49 : 919,514.85 = 213,646.61 : x
  2. Step 2: Convert to fraction form
    613,006.49/919,514.85 = 213,646.61/x
  3. Step 3: Cross multiply
    613,006.49x = 919,514.85 × 213,646.61
  4. Step 4: Simplify right side
    613,006.49x = 196,451,230,547.16
  5. Step 5: Solve for x
    x = 196,451,230,547.16/613,006.49
  6. Step 6: Final answer
    x = 320,471.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.