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Finding the Fourth Proportional to 290,041.20, 434,932.20 and 112,489.20

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Solution

The fourth proportional to 290,041.20, 434,932.20 and 112,489.20 is: 168,683.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,041.20 : 434,932.20 = 112,489.20 : x
  2. Step 2: Convert to fraction form
    290,041.20/434,932.20 = 112,489.20/x
  3. Step 3: Cross multiply
    290,041.20x = 434,932.20 × 112,489.20
  4. Step 4: Simplify right side
    290,041.20x = 48,925,175,232.24
  5. Step 5: Solve for x
    x = 48,925,175,232.24/290,041.20
  6. Step 6: Final answer
    x = 168,683.54

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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.