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Finding the Fourth Proportional to 280,283.98, 419,364.85 and 171,827.61

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Solution

The fourth proportional to 280,283.98, 419,364.85 and 171,827.61 is: 257,090.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,283.98 : 419,364.85 = 171,827.61 : x
  2. Step 2: Convert to fraction form
    280,283.98/419,364.85 = 171,827.61/x
  3. Step 3: Cross multiply
    280,283.98x = 419,364.85 × 171,827.61
  4. Step 4: Simplify right side
    280,283.98x = 72,058,456,937.55
  5. Step 5: Solve for x
    x = 72,058,456,937.55/280,283.98
  6. Step 6: Final answer
    x = 257,090.89

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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.