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Finding the Fourth Proportional to 434,314.80, 650,089.80 and 309,898.80

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Solution

The fourth proportional to 434,314.80, 650,089.80 and 309,898.80 is: 463,861.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,314.80 : 650,089.80 = 309,898.80 : x
  2. Step 2: Convert to fraction form
    434,314.80/650,089.80 = 309,898.80/x
  3. Step 3: Cross multiply
    434,314.80x = 650,089.80 × 309,898.80
  4. Step 4: Simplify right side
    434,314.80x = 201,462,048,912.24
  5. Step 5: Solve for x
    x = 201,462,048,912.24/434,314.80
  6. Step 6: Final answer
    x = 463,861.81

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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.