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Finding the Fourth Proportional to 255,963.10, 384,117.45 and 166,999.90

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Solution

The fourth proportional to 255,963.10, 384,117.45 and 166,999.90 is: 250,612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,963.10 : 384,117.45 = 166,999.90 : x
  2. Step 2: Convert to fraction form
    255,963.10/384,117.45 = 166,999.90/x
  3. Step 3: Cross multiply
    255,963.10x = 384,117.45 × 166,999.90
  4. Step 4: Simplify right side
    255,963.10x = 64,147,575,738.26
  5. Step 5: Solve for x
    x = 64,147,575,738.26/255,963.10
  6. Step 6: Final answer
    x = 250,612.59

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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.