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Finding the Fourth Proportional to 356,857.85, 492,470.15 and 195,711.49

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Solution

The fourth proportional to 356,857.85, 492,470.15 and 195,711.49 is: 270,085.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,857.85 : 492,470.15 = 195,711.49 : x
  2. Step 2: Convert to fraction form
    356,857.85/492,470.15 = 195,711.49/x
  3. Step 3: Cross multiply
    356,857.85x = 492,470.15 × 195,711.49
  4. Step 4: Simplify right side
    356,857.85x = 96,382,066,474.05
  5. Step 5: Solve for x
    x = 96,382,066,474.05/356,857.85
  6. Step 6: Final answer
    x = 270,085.32

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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.