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Finding the Fourth Proportional to 286,454.43, 395,309.90 and 157,390.83

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Solution

The fourth proportional to 286,454.43, 395,309.90 and 157,390.83 is: 217,200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,454.43 : 395,309.90 = 157,390.83 : x
  2. Step 2: Convert to fraction form
    286,454.43/395,309.90 = 157,390.83/x
  3. Step 3: Cross multiply
    286,454.43x = 395,309.90 × 157,390.83
  4. Step 4: Simplify right side
    286,454.43x = 62,218,153,661.69
  5. Step 5: Solve for x
    x = 62,218,153,661.69/286,454.43
  6. Step 6: Final answer
    x = 217,200.88

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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.