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Finding the Fourth Proportional to 432,978.84, 649,225.24 and 298,201.32

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Solution

The fourth proportional to 432,978.84, 649,225.24 and 298,201.32 is: 447,134.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,978.84 : 649,225.24 = 298,201.32 : x
  2. Step 2: Convert to fraction form
    432,978.84/649,225.24 = 298,201.32/x
  3. Step 3: Cross multiply
    432,978.84x = 649,225.24 × 298,201.32
  4. Step 4: Simplify right side
    432,978.84x = 193,599,823,545.32
  5. Step 5: Solve for x
    x = 193,599,823,545.32/432,978.84
  6. Step 6: Final answer
    x = 447,134.61

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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.