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Finding the Fourth Proportional to 455,815.60, 684,160.80 and 231,429.40

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Solution

The fourth proportional to 455,815.60, 684,160.80 and 231,429.40 is: 347,366.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,815.60 : 684,160.80 = 231,429.40 : x
  2. Step 2: Convert to fraction form
    455,815.60/684,160.80 = 231,429.40/x
  3. Step 3: Cross multiply
    455,815.60x = 684,160.80 × 231,429.40
  4. Step 4: Simplify right side
    455,815.60x = 158,334,923,447.52
  5. Step 5: Solve for x
    x = 158,334,923,447.52/455,815.60
  6. Step 6: Final answer
    x = 347,366.18

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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.