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Finding the Fourth Proportional to 288,069.60, 431,974.80 and 130,216.80

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Solution

The fourth proportional to 288,069.60, 431,974.80 and 130,216.80 is: 195,266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,069.60 : 431,974.80 = 130,216.80 : x
  2. Step 2: Convert to fraction form
    288,069.60/431,974.80 = 130,216.80/x
  3. Step 3: Cross multiply
    288,069.60x = 431,974.80 × 130,216.80
  4. Step 4: Simplify right side
    288,069.60x = 56,250,376,136.64
  5. Step 5: Solve for x
    x = 56,250,376,136.64/288,069.60
  6. Step 6: Final answer
    x = 195,266.62

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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.