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Finding the Fourth Proportional to 456,227.40, 684,346.50 and 276,352.05

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Solution

The fourth proportional to 456,227.40, 684,346.50 and 276,352.05 is: 414,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,227.40 : 684,346.50 = 276,352.05 : x
  2. Step 2: Convert to fraction form
    456,227.40/684,346.50 = 276,352.05/x
  3. Step 3: Cross multiply
    456,227.40x = 684,346.50 × 276,352.05
  4. Step 4: Simplify right side
    456,227.40x = 189,120,558,185.33
  5. Step 5: Solve for x
    x = 189,120,558,185.33/456,227.40
  6. Step 6: Final answer
    x = 414,531.35

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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.