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Finding the Fourth Proportional to 413,388.48, 570,649.44 and 279,433.92

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Solution

The fourth proportional to 413,388.48, 570,649.44 and 279,433.92 is: 385,735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,388.48 : 570,649.44 = 279,433.92 : x
  2. Step 2: Convert to fraction form
    413,388.48/570,649.44 = 279,433.92/x
  3. Step 3: Cross multiply
    413,388.48x = 570,649.44 × 279,433.92
  4. Step 4: Simplify right side
    413,388.48x = 159,458,809,965.01
  5. Step 5: Solve for x
    x = 159,458,809,965.01/413,388.48
  6. Step 6: Final answer
    x = 385,735.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.