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Finding the Fourth Proportional to 312,186.89, 430,816.32 and 168,946.97

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Solution

The fourth proportional to 312,186.89, 430,816.32 and 168,946.97 is: 233,145.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,186.89 : 430,816.32 = 168,946.97 : x
  2. Step 2: Convert to fraction form
    312,186.89/430,816.32 = 168,946.97/x
  3. Step 3: Cross multiply
    312,186.89x = 430,816.32 × 168,946.97
  4. Step 4: Simplify right side
    312,186.89x = 72,785,109,736.47
  5. Step 5: Solve for x
    x = 72,785,109,736.47/312,186.89
  6. Step 6: Final answer
    x = 233,145.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.