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Finding the Fourth Proportional to 426,614.64, 640,108.80 and 202,135.32

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Solution

The fourth proportional to 426,614.64, 640,108.80 and 202,135.32 is: 303,291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,614.64 : 640,108.80 = 202,135.32 : x
  2. Step 2: Convert to fraction form
    426,614.64/640,108.80 = 202,135.32/x
  3. Step 3: Cross multiply
    426,614.64x = 640,108.80 × 202,135.32
  4. Step 4: Simplify right side
    426,614.64x = 129,388,597,122.82
  5. Step 5: Solve for x
    x = 129,388,597,122.82/426,614.64
  6. Step 6: Final answer
    x = 303,291.51

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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.