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Finding the Fourth Proportional to 387,504, 581,100.48 and 187,660.80

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Solution

The fourth proportional to 387,504, 581,100.48 and 187,660.80 is: 281,415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,504 : 581,100.48 = 187,660.80 : x
  2. Step 2: Convert to fraction form
    387,504/581,100.48 = 187,660.80/x
  3. Step 3: Cross multiply
    387,504x = 581,100.48 × 187,660.80
  4. Step 4: Simplify right side
    387,504x = 109,049,780,957.18
  5. Step 5: Solve for x
    x = 109,049,780,957.18/387,504
  6. Step 6: Final answer
    x = 281,415.88

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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.