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Finding the Fourth Proportional to 456,447.80, 684,687.90 and 140,904.20

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Solution

The fourth proportional to 456,447.80, 684,687.90 and 140,904.20 is: 211,361.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,447.80 : 684,687.90 = 140,904.20 : x
  2. Step 2: Convert to fraction form
    456,447.80/684,687.90 = 140,904.20/x
  3. Step 3: Cross multiply
    456,447.80x = 684,687.90 × 140,904.20
  4. Step 4: Simplify right side
    456,447.80x = 96,475,400,799.18
  5. Step 5: Solve for x
    x = 96,475,400,799.18/456,447.80
  6. Step 6: Final answer
    x = 211,361.30

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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.