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Finding the Fourth Proportional to 290,338.42, 435,535.17 and 112,859.14

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Solution

The fourth proportional to 290,338.42, 435,535.17 and 112,859.14 is: 169,299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,338.42 : 435,535.17 = 112,859.14 : x
  2. Step 2: Convert to fraction form
    290,338.42/435,535.17 = 112,859.14/x
  3. Step 3: Cross multiply
    290,338.42x = 435,535.17 × 112,859.14
  4. Step 4: Simplify right side
    290,338.42x = 49,154,124,725.95
  5. Step 5: Solve for x
    x = 49,154,124,725.95/290,338.42
  6. Step 6: Final answer
    x = 169,299.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.