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Finding the Fourth Proportional to 642,523.20, 963,093.60 and 243,009.60

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Solution

The fourth proportional to 642,523.20, 963,093.60 and 243,009.60 is: 364,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,523.20 : 963,093.60 = 243,009.60 : x
  2. Step 2: Convert to fraction form
    642,523.20/963,093.60 = 243,009.60/x
  3. Step 3: Cross multiply
    642,523.20x = 963,093.60 × 243,009.60
  4. Step 4: Simplify right side
    642,523.20x = 234,040,990,498.56
  5. Step 5: Solve for x
    x = 234,040,990,498.56/642,523.20
  6. Step 6: Final answer
    x = 364,252.98

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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.