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Finding the Fourth Proportional to 285,689.69, 394,249.12 and 156,635.33

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Solution

The fourth proportional to 285,689.69, 394,249.12 and 156,635.33 is: 216,155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,689.69 : 394,249.12 = 156,635.33 : x
  2. Step 2: Convert to fraction form
    285,689.69/394,249.12 = 156,635.33/x
  3. Step 3: Cross multiply
    285,689.69x = 394,249.12 × 156,635.33
  4. Step 4: Simplify right side
    285,689.69x = 61,753,342,303.71
  5. Step 5: Solve for x
    x = 61,753,342,303.71/285,689.69
  6. Step 6: Final answer
    x = 216,155.31

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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.