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Finding the Fourth Proportional to 434,561.10, 651,906.45 and 154,056.30

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Solution

The fourth proportional to 434,561.10, 651,906.45 and 154,056.30 is: 231,107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,561.10 : 651,906.45 = 154,056.30 : x
  2. Step 2: Convert to fraction form
    434,561.10/651,906.45 = 154,056.30/x
  3. Step 3: Cross multiply
    434,561.10x = 651,906.45 × 154,056.30
  4. Step 4: Simplify right side
    434,561.10x = 100,430,295,633.14
  5. Step 5: Solve for x
    x = 100,430,295,633.14/434,561.10
  6. Step 6: Final answer
    x = 231,107.42

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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.