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Finding the Fourth Proportional to 456,164.40, 684,181.80 and 156,658.80

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Solution

The fourth proportional to 456,164.40, 684,181.80 and 156,658.80 is: 234,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,164.40 : 684,181.80 = 156,658.80 : x
  2. Step 2: Convert to fraction form
    456,164.40/684,181.80 = 156,658.80/x
  3. Step 3: Cross multiply
    456,164.40x = 684,181.80 × 156,658.80
  4. Step 4: Simplify right side
    456,164.40x = 107,183,099,769.84
  5. Step 5: Solve for x
    x = 107,183,099,769.84/456,164.40
  6. Step 6: Final answer
    x = 234,965.95

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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.