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Finding the Fourth Proportional to 455,818.60, 684,165.30 and 231,432.40

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Solution

The fourth proportional to 455,818.60, 684,165.30 and 231,432.40 is: 347,370.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,818.60 : 684,165.30 = 231,432.40 : x
  2. Step 2: Convert to fraction form
    455,818.60/684,165.30 = 231,432.40/x
  3. Step 3: Cross multiply
    455,818.60x = 684,165.30 × 231,432.40
  4. Step 4: Simplify right side
    455,818.60x = 158,338,017,375.72
  5. Step 5: Solve for x
    x = 158,338,017,375.72/455,818.60
  6. Step 6: Final answer
    x = 347,370.68

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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.