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Finding the Fourth Proportional to 640,242.16, 960,467.46 and 299,026.80

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Solution

The fourth proportional to 640,242.16, 960,467.46 and 299,026.80 is: 448,588.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,242.16 : 960,467.46 = 299,026.80 : x
  2. Step 2: Convert to fraction form
    640,242.16/960,467.46 = 299,026.80/x
  3. Step 3: Cross multiply
    640,242.16x = 960,467.46 × 299,026.80
  4. Step 4: Simplify right side
    640,242.16x = 287,205,511,067.93
  5. Step 5: Solve for x
    x = 287,205,511,067.93/640,242.16
  6. Step 6: Final answer
    x = 448,588.88

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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.