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Finding the Fourth Proportional to 291,835.20, 437,698.80 and 81,429.60

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Solution

The fourth proportional to 291,835.20, 437,698.80 and 81,429.60 is: 122,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,835.20 : 437,698.80 = 81,429.60 : x
  2. Step 2: Convert to fraction form
    291,835.20/437,698.80 = 81,429.60/x
  3. Step 3: Cross multiply
    291,835.20x = 437,698.80 × 81,429.60
  4. Step 4: Simplify right side
    291,835.20x = 35,641,638,204.48
  5. Step 5: Solve for x
    x = 35,641,638,204.48/291,835.20
  6. Step 6: Final answer
    x = 122,129.33

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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.