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Finding the Fourth Proportional to 456,446.80, 684,686.40 and 140,903.20

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Solution

The fourth proportional to 456,446.80, 684,686.40 and 140,903.20 is: 211,359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,446.80 : 684,686.40 = 140,903.20 : x
  2. Step 2: Convert to fraction form
    456,446.80/684,686.40 = 140,903.20/x
  3. Step 3: Cross multiply
    456,446.80x = 684,686.40 × 140,903.20
  4. Step 4: Simplify right side
    456,446.80x = 96,474,504,756.48
  5. Step 5: Solve for x
    x = 96,474,504,756.48/456,446.80
  6. Step 6: Final answer
    x = 211,359.80

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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.