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Finding the Fourth Proportional to 290,438.88, 435,685.23 and 112,959.24

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Solution

The fourth proportional to 290,438.88, 435,685.23 and 112,959.24 is: 169,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,438.88 : 435,685.23 = 112,959.24 : x
  2. Step 2: Convert to fraction form
    290,438.88/435,685.23 = 112,959.24/x
  3. Step 3: Cross multiply
    290,438.88x = 435,685.23 × 112,959.24
  4. Step 4: Simplify right side
    290,438.88x = 49,214,672,460.03
  5. Step 5: Solve for x
    x = 49,214,672,460.03/290,438.88
  6. Step 6: Final answer
    x = 169,449.33

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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.