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Finding the Fourth Proportional to 456,049.80, 684,074.70 and 306,750.60

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Solution

The fourth proportional to 456,049.80, 684,074.70 and 306,750.60 is: 460,125.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,049.80 : 684,074.70 = 306,750.60 : x
  2. Step 2: Convert to fraction form
    456,049.80/684,074.70 = 306,750.60/x
  3. Step 3: Cross multiply
    456,049.80x = 684,074.70 × 306,750.60
  4. Step 4: Simplify right side
    456,049.80x = 209,840,324,669.82
  5. Step 5: Solve for x
    x = 209,840,324,669.82/456,049.80
  6. Step 6: Final answer
    x = 460,125.90

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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.