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Finding the Fourth Proportional to 291,298.65, 436,949 and 80,936.59

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Solution

The fourth proportional to 291,298.65, 436,949 and 80,936.59 is: 121,405.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,298.65 : 436,949 = 80,936.59 : x
  2. Step 2: Convert to fraction form
    291,298.65/436,949 = 80,936.59/x
  3. Step 3: Cross multiply
    291,298.65x = 436,949 × 80,936.59
  4. Step 4: Simplify right side
    291,298.65x = 35,365,159,879.17
  5. Step 5: Solve for x
    x = 35,365,159,879.17/291,298.65
  6. Step 6: Final answer
    x = 121,405.16

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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.