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Finding the Fourth Proportional to 456,145.80, 684,218.70 and 306,846.60

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Solution

The fourth proportional to 456,145.80, 684,218.70 and 306,846.60 is: 460,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,145.80 : 684,218.70 = 306,846.60 : x
  2. Step 2: Convert to fraction form
    456,145.80/684,218.70 = 306,846.60/x
  3. Step 3: Cross multiply
    456,145.80x = 684,218.70 × 306,846.60
  4. Step 4: Simplify right side
    456,145.80x = 209,950,181,751.42
  5. Step 5: Solve for x
    x = 209,950,181,751.42/456,145.80
  6. Step 6: Final answer
    x = 460,269.90

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1.5x scale

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.