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Finding the Fourth Proportional to 659,912.80, 989,869.20 and 460,847.20

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Solution

The fourth proportional to 659,912.80, 989,869.20 and 460,847.20 is: 691,270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,912.80 : 989,869.20 = 460,847.20 : x
  2. Step 2: Convert to fraction form
    659,912.80/989,869.20 = 460,847.20/x
  3. Step 3: Cross multiply
    659,912.80x = 989,869.20 × 460,847.20
  4. Step 4: Simplify right side
    659,912.80x = 456,178,449,186.24
  5. Step 5: Solve for x
    x = 456,178,449,186.24/659,912.80
  6. Step 6: Final answer
    x = 691,270.80

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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.