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Finding the Fourth Proportional to 290,961.81, 436,442.72 and 91,298.16

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Solution

The fourth proportional to 290,961.81, 436,442.72 and 91,298.16 is: 136,947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,961.81 : 436,442.72 = 91,298.16 : x
  2. Step 2: Convert to fraction form
    290,961.81/436,442.72 = 91,298.16/x
  3. Step 3: Cross multiply
    290,961.81x = 436,442.72 × 91,298.16
  4. Step 4: Simplify right side
    290,961.81x = 39,846,416,824.90
  5. Step 5: Solve for x
    x = 39,846,416,824.90/290,961.81
  6. Step 6: Final answer
    x = 136,947.24

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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.