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Finding the Fourth Proportional to 314,029.60, 471,044.40 and 279,623.20

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Solution

The fourth proportional to 314,029.60, 471,044.40 and 279,623.20 is: 419,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,029.60 : 471,044.40 = 279,623.20 : x
  2. Step 2: Convert to fraction form
    314,029.60/471,044.40 = 279,623.20/x
  3. Step 3: Cross multiply
    314,029.60x = 471,044.40 × 279,623.20
  4. Step 4: Simplify right side
    314,029.60x = 131,714,942,470.08
  5. Step 5: Solve for x
    x = 131,714,942,470.08/314,029.60
  6. Step 6: Final answer
    x = 419,434.80

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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.