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Finding the Fourth Proportional to 348,857.20, 522,508.20 and 286,649.20

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Solution

The fourth proportional to 348,857.20, 522,508.20 and 286,649.20 is: 429,334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,857.20 : 522,508.20 = 286,649.20 : x
  2. Step 2: Convert to fraction form
    348,857.20/522,508.20 = 286,649.20/x
  3. Step 3: Cross multiply
    348,857.20x = 522,508.20 × 286,649.20
  4. Step 4: Simplify right side
    348,857.20x = 149,776,557,523.44
  5. Step 5: Solve for x
    x = 149,776,557,523.44/348,857.20
  6. Step 6: Final answer
    x = 429,334.86

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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.