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Finding the Fourth Proportional to 310,304.86, 428,085.74 and 195,513.82

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Solution

The fourth proportional to 310,304.86, 428,085.74 and 195,513.82 is: 269,724.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,304.86 : 428,085.74 = 195,513.82 : x
  2. Step 2: Convert to fraction form
    310,304.86/428,085.74 = 195,513.82/x
  3. Step 3: Cross multiply
    310,304.86x = 428,085.74 × 195,513.82
  4. Step 4: Simplify right side
    310,304.86x = 83,696,678,314.93
  5. Step 5: Solve for x
    x = 83,696,678,314.93/310,304.86
  6. Step 6: Final answer
    x = 269,724.03

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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.