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Finding the Fourth Proportional to 432,390.40, 648,099.60 and 207,858.40

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Solution

The fourth proportional to 432,390.40, 648,099.60 and 207,858.40 is: 311,553.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,390.40 : 648,099.60 = 207,858.40 : x
  2. Step 2: Convert to fraction form
    432,390.40/648,099.60 = 207,858.40/x
  3. Step 3: Cross multiply
    432,390.40x = 648,099.60 × 207,858.40
  4. Step 4: Simplify right side
    432,390.40x = 134,712,945,896.64
  5. Step 5: Solve for x
    x = 134,712,945,896.64/432,390.40
  6. Step 6: Final answer
    x = 311,553.97

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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.