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Finding the Fourth Proportional to 315,020.70, 472,531.05 and 182,160.45

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Solution

The fourth proportional to 315,020.70, 472,531.05 and 182,160.45 is: 273,240.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,020.70 : 472,531.05 = 182,160.45 : x
  2. Step 2: Convert to fraction form
    315,020.70/472,531.05 = 182,160.45/x
  3. Step 3: Cross multiply
    315,020.70x = 472,531.05 × 182,160.45
  4. Step 4: Simplify right side
    315,020.70x = 86,076,468,706.97
  5. Step 5: Solve for x
    x = 86,076,468,706.97/315,020.70
  6. Step 6: Final answer
    x = 273,240.68

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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.