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Finding the Fourth Proportional to 255,433.91, 352,509.73 and 142,256.66

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Solution

The fourth proportional to 255,433.91, 352,509.73 and 142,256.66 is: 196,320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,433.91 : 352,509.73 = 142,256.66 : x
  2. Step 2: Convert to fraction form
    255,433.91/352,509.73 = 142,256.66/x
  3. Step 3: Cross multiply
    255,433.91x = 352,509.73 × 142,256.66
  4. Step 4: Simplify right side
    255,433.91x = 50,146,856,807.30
  5. Step 5: Solve for x
    x = 50,146,856,807.30/255,433.91
  6. Step 6: Final answer
    x = 196,320.28

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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.