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Finding the Fourth Proportional to 284,203.86, 426,305.85 and 144,002.58

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Solution

The fourth proportional to 284,203.86, 426,305.85 and 144,002.58 is: 216,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,203.86 : 426,305.85 = 144,002.58 : x
  2. Step 2: Convert to fraction form
    284,203.86/426,305.85 = 144,002.58/x
  3. Step 3: Cross multiply
    284,203.86x = 426,305.85 × 144,002.58
  4. Step 4: Simplify right side
    284,203.86x = 61,389,142,269.09
  5. Step 5: Solve for x
    x = 61,389,142,269.09/284,203.86
  6. Step 6: Final answer
    x = 216,003.90

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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.