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Finding the Fourth Proportional to 456,187.20, 684,426.60 and 156,859.80

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Solution

The fourth proportional to 456,187.20, 684,426.60 and 156,859.80 is: 235,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,187.20 : 684,426.60 = 156,859.80 : x
  2. Step 2: Convert to fraction form
    456,187.20/684,426.60 = 156,859.80/x
  3. Step 3: Cross multiply
    456,187.20x = 684,426.60 × 156,859.80
  4. Step 4: Simplify right side
    456,187.20x = 107,359,019,590.68
  5. Step 5: Solve for x
    x = 107,359,019,590.68/456,187.20
  6. Step 6: Final answer
    x = 235,339.83

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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.