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Finding the Fourth Proportional to 255,963.24, 353,142.18 and 155,341.80

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Solution

The fourth proportional to 255,963.24, 353,142.18 and 155,341.80 is: 214,318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,963.24 : 353,142.18 = 155,341.80 : x
  2. Step 2: Convert to fraction form
    255,963.24/353,142.18 = 155,341.80/x
  3. Step 3: Cross multiply
    255,963.24x = 353,142.18 × 155,341.80
  4. Step 4: Simplify right side
    255,963.24x = 54,857,741,897.12
  5. Step 5: Solve for x
    x = 54,857,741,897.12/255,963.24
  6. Step 6: Final answer
    x = 214,318.83

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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.