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Finding the Fourth Proportional to 288,463.69, 398,078.90 and 159,398.57

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Solution

The fourth proportional to 288,463.69, 398,078.90 and 159,398.57 is: 219,969.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,463.69 : 398,078.90 = 159,398.57 : x
  2. Step 2: Convert to fraction form
    288,463.69/398,078.90 = 159,398.57/x
  3. Step 3: Cross multiply
    288,463.69x = 398,078.90 × 159,398.57
  4. Step 4: Simplify right side
    288,463.69x = 63,453,205,815.27
  5. Step 5: Solve for x
    x = 63,453,205,815.27/288,463.69
  6. Step 6: Final answer
    x = 219,969.47

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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.