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Finding the Fourth Proportional to 310,052.80, 427,758.06 and 195,300.64

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Solution

The fourth proportional to 310,052.80, 427,758.06 and 195,300.64 is: 269,442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,052.80 : 427,758.06 = 195,300.64 : x
  2. Step 2: Convert to fraction form
    310,052.80/427,758.06 = 195,300.64/x
  3. Step 3: Cross multiply
    310,052.80x = 427,758.06 × 195,300.64
  4. Step 4: Simplify right side
    310,052.80x = 83,541,422,883.16
  5. Step 5: Solve for x
    x = 83,541,422,883.16/310,052.80
  6. Step 6: Final answer
    x = 269,442.57

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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.