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Finding the Fourth Proportional to 455,817.60, 684,163.80 and 231,431.40

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Solution

The fourth proportional to 455,817.60, 684,163.80 and 231,431.40 is: 347,369.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,817.60 : 684,163.80 = 231,431.40 : x
  2. Step 2: Convert to fraction form
    455,817.60/684,163.80 = 231,431.40/x
  3. Step 3: Cross multiply
    455,817.60x = 684,163.80 × 231,431.40
  4. Step 4: Simplify right side
    455,817.60x = 158,336,986,063.32
  5. Step 5: Solve for x
    x = 158,336,986,063.32/455,817.60
  6. Step 6: Final answer
    x = 347,369.18

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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.