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Finding the Fourth Proportional to 208,898.82, 288,286.28 and 113,411.74

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Solution

The fourth proportional to 208,898.82, 288,286.28 and 113,411.74 is: 156,511.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,898.82 : 288,286.28 = 113,411.74 : x
  2. Step 2: Convert to fraction form
    208,898.82/288,286.28 = 113,411.74/x
  3. Step 3: Cross multiply
    208,898.82x = 288,286.28 × 113,411.74
  4. Step 4: Simplify right side
    208,898.82x = 32,695,048,632.93
  5. Step 5: Solve for x
    x = 32,695,048,632.93/208,898.82
  6. Step 6: Final answer
    x = 156,511.41

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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.