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Finding the Fourth Proportional to 456,416.20, 684,624.30 and 231,811.30

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Solution

The fourth proportional to 456,416.20, 684,624.30 and 231,811.30 is: 347,716.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,416.20 : 684,624.30 = 231,811.30 : x
  2. Step 2: Convert to fraction form
    456,416.20/684,624.30 = 231,811.30/x
  3. Step 3: Cross multiply
    456,416.20x = 684,624.30 × 231,811.30
  4. Step 4: Simplify right side
    456,416.20x = 158,703,648,994.59
  5. Step 5: Solve for x
    x = 158,703,648,994.59/456,416.20
  6. Step 6: Final answer
    x = 347,716.95

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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.