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Finding the Fourth Proportional to 298,117.32, 411,364.52 and 201,531.32

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Solution

The fourth proportional to 298,117.32, 411,364.52 and 201,531.32 is: 278,087.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,117.32 : 411,364.52 = 201,531.32 : x
  2. Step 2: Convert to fraction form
    298,117.32/411,364.52 = 201,531.32/x
  3. Step 3: Cross multiply
    298,117.32x = 411,364.52 × 201,531.32
  4. Step 4: Simplify right side
    298,117.32x = 82,902,834,716.77
  5. Step 5: Solve for x
    x = 82,902,834,716.77/298,117.32
  6. Step 6: Final answer
    x = 278,087.95

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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.