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Finding the Fourth Proportional to 286,784.70, 395,767.41 and 157,728.78

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Solution

The fourth proportional to 286,784.70, 395,767.41 and 157,728.78 is: 217,668.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,784.70 : 395,767.41 = 157,728.78 : x
  2. Step 2: Convert to fraction form
    286,784.70/395,767.41 = 157,728.78/x
  3. Step 3: Cross multiply
    286,784.70x = 395,767.41 × 157,728.78
  4. Step 4: Simplify right side
    286,784.70x = 62,423,910,743.06
  5. Step 5: Solve for x
    x = 62,423,910,743.06/286,784.70
  6. Step 6: Final answer
    x = 217,668.20

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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.