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Finding the Fourth Proportional to 284,983.12, 427,863.48 and 144,840.88

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Solution

The fourth proportional to 284,983.12, 427,863.48 and 144,840.88 is: 217,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,983.12 : 427,863.48 = 144,840.88 : x
  2. Step 2: Convert to fraction form
    284,983.12/427,863.48 = 144,840.88/x
  3. Step 3: Cross multiply
    284,983.12x = 427,863.48 × 144,840.88
  4. Step 4: Simplify right side
    284,983.12x = 61,972,122,963.06
  5. Step 5: Solve for x
    x = 61,972,122,963.06/284,983.12
  6. Step 6: Final answer
    x = 217,458.93

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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.