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Finding the Fourth Proportional to 286,701.93, 395,658.81 and 157,650.20

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Solution

The fourth proportional to 286,701.93, 395,658.81 and 157,650.20 is: 217,562.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,701.93 : 395,658.81 = 157,650.20 : x
  2. Step 2: Convert to fraction form
    286,701.93/395,658.81 = 157,650.20/x
  3. Step 3: Cross multiply
    286,701.93x = 395,658.81 × 157,650.20
  4. Step 4: Simplify right side
    286,701.93x = 62,375,690,033.69
  5. Step 5: Solve for x
    x = 62,375,690,033.69/286,701.93
  6. Step 6: Final answer
    x = 217,562.85

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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.