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Finding the Fourth Proportional to 426,715.98, 640,388.96 and 202,076.05

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Solution

The fourth proportional to 426,715.98, 640,388.96 and 202,076.05 is: 303,263.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,715.98 : 640,388.96 = 202,076.05 : x
  2. Step 2: Convert to fraction form
    426,715.98/640,388.96 = 202,076.05/x
  3. Step 3: Cross multiply
    426,715.98x = 640,388.96 × 202,076.05
  4. Step 4: Simplify right side
    426,715.98x = 129,407,271,500.41
  5. Step 5: Solve for x
    x = 129,407,271,500.41/426,715.98
  6. Step 6: Final answer
    x = 303,263.24

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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.