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Finding the Fourth Proportional to 305,798.05, 422,142.54 and 183,348.38

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Solution

The fourth proportional to 305,798.05, 422,142.54 and 183,348.38 is: 253,105.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,798.05 : 422,142.54 = 183,348.38 : x
  2. Step 2: Convert to fraction form
    305,798.05/422,142.54 = 183,348.38/x
  3. Step 3: Cross multiply
    305,798.05x = 422,142.54 × 183,348.38
  4. Step 4: Simplify right side
    305,798.05x = 77,399,148,831.33
  5. Step 5: Solve for x
    x = 77,399,148,831.33/305,798.05
  6. Step 6: Final answer
    x = 253,105.44

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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.