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Finding the Fourth Proportional to 291,049.20, 436,573.80 and 197,737.20

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Solution

The fourth proportional to 291,049.20, 436,573.80 and 197,737.20 is: 296,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,049.20 : 436,573.80 = 197,737.20 : x
  2. Step 2: Convert to fraction form
    291,049.20/436,573.80 = 197,737.20/x
  3. Step 3: Cross multiply
    291,049.20x = 436,573.80 × 197,737.20
  4. Step 4: Simplify right side
    291,049.20x = 86,326,880,805.36
  5. Step 5: Solve for x
    x = 86,326,880,805.36/291,049.20
  6. Step 6: Final answer
    x = 296,605.80

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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.