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Finding the Fourth Proportional to 255,739.20, 384,046.20 and 167,384.40

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Solution

The fourth proportional to 255,739.20, 384,046.20 and 167,384.40 is: 251,362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,739.20 : 384,046.20 = 167,384.40 : x
  2. Step 2: Convert to fraction form
    255,739.20/384,046.20 = 167,384.40/x
  3. Step 3: Cross multiply
    255,739.20x = 384,046.20 × 167,384.40
  4. Step 4: Simplify right side
    255,739.20x = 64,283,342,759.28
  5. Step 5: Solve for x
    x = 64,283,342,759.28/255,739.20
  6. Step 6: Final answer
    x = 251,362.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.