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Finding the Fourth Proportional to 642,807.56, 964,200.60 and 156,494.84

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Solution

The fourth proportional to 642,807.56, 964,200.60 and 156,494.84 is: 234,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,807.56 : 964,200.60 = 156,494.84 : x
  2. Step 2: Convert to fraction form
    642,807.56/964,200.60 = 156,494.84/x
  3. Step 3: Cross multiply
    642,807.56x = 964,200.60 × 156,494.84
  4. Step 4: Simplify right side
    642,807.56x = 150,892,418,624.90
  5. Step 5: Solve for x
    x = 150,892,418,624.90/642,807.56
  6. Step 6: Final answer
    x = 234,739.65

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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.