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Finding the Fourth Proportional to 289,855.53, 434,096.06 and 229,690.55

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Solution

The fourth proportional to 289,855.53, 434,096.06 and 229,690.55 is: 343,991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,855.53 : 434,096.06 = 229,690.55 : x
  2. Step 2: Convert to fraction form
    289,855.53/434,096.06 = 229,690.55/x
  3. Step 3: Cross multiply
    289,855.53x = 434,096.06 × 229,690.55
  4. Step 4: Simplify right side
    289,855.53x = 99,707,762,711.02
  5. Step 5: Solve for x
    x = 99,707,762,711.02/289,855.53
  6. Step 6: Final answer
    x = 343,991.24

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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.