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Finding the Fourth Proportional to 310,739.31, 428,853.15 and 189,951.30

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Solution

The fourth proportional to 310,739.31, 428,853.15 and 189,951.30 is: 262,152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,739.31 : 428,853.15 = 189,951.30 : x
  2. Step 2: Convert to fraction form
    310,739.31/428,853.15 = 189,951.30/x
  3. Step 3: Cross multiply
    310,739.31x = 428,853.15 × 189,951.30
  4. Step 4: Simplify right side
    310,739.31x = 81,461,213,351.60
  5. Step 5: Solve for x
    x = 81,461,213,351.60/310,739.31
  6. Step 6: Final answer
    x = 262,152.91

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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.