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Finding the Fourth Proportional to 291,043.20, 436,564.80 and 197,731.20

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Solution

The fourth proportional to 291,043.20, 436,564.80 and 197,731.20 is: 296,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,043.20 : 436,564.80 = 197,731.20 : x
  2. Step 2: Convert to fraction form
    291,043.20/436,564.80 = 197,731.20/x
  3. Step 3: Cross multiply
    291,043.20x = 436,564.80 × 197,731.20
  4. Step 4: Simplify right side
    291,043.20x = 86,322,481,781.76
  5. Step 5: Solve for x
    x = 86,322,481,781.76/291,043.20
  6. Step 6: Final answer
    x = 296,596.80

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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.