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Finding the Fourth Proportional to 379,843.84, 569,960.16 and 155,370.16

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Solution

The fourth proportional to 379,843.84, 569,960.16 and 155,370.16 is: 233,134.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,843.84 : 569,960.16 = 155,370.16 : x
  2. Step 2: Convert to fraction form
    379,843.84/569,960.16 = 155,370.16/x
  3. Step 3: Cross multiply
    379,843.84x = 569,960.16 × 155,370.16
  4. Step 4: Simplify right side
    379,843.84x = 88,554,801,252.83
  5. Step 5: Solve for x
    x = 88,554,801,252.83/379,843.84
  6. Step 6: Final answer
    x = 233,134.76

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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.