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Finding the Fourth Proportional to 291,448.61, 437,231.86 and 122,969.30

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Solution

The fourth proportional to 291,448.61, 437,231.86 and 122,969.30 is: 184,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,448.61 : 437,231.86 = 122,969.30 : x
  2. Step 2: Convert to fraction form
    291,448.61/437,231.86 = 122,969.30/x
  3. Step 3: Cross multiply
    291,448.61x = 437,231.86 × 122,969.30
  4. Step 4: Simplify right side
    291,448.61x = 53,766,095,761.90
  5. Step 5: Solve for x
    x = 53,766,095,761.90/291,448.61
  6. Step 6: Final answer
    x = 184,478.82

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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.