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Finding the Fourth Proportional to 519,029.60, 777,622.80 and 321,807.20

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Solution

The fourth proportional to 519,029.60, 777,622.80 and 321,807.20 is: 482,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,029.60 : 777,622.80 = 321,807.20 : x
  2. Step 2: Convert to fraction form
    519,029.60/777,622.80 = 321,807.20/x
  3. Step 3: Cross multiply
    519,029.60x = 777,622.80 × 321,807.20
  4. Step 4: Simplify right side
    519,029.60x = 250,244,615,924.16
  5. Step 5: Solve for x
    x = 250,244,615,924.16/519,029.60
  6. Step 6: Final answer
    x = 482,139.39

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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.