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Finding the Fourth Proportional to 322,907.60, 484,649.40 and 189,621.20

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Solution

The fourth proportional to 322,907.60, 484,649.40 and 189,621.20 is: 284,600.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,907.60 : 484,649.40 = 189,621.20 : x
  2. Step 2: Convert to fraction form
    322,907.60/484,649.40 = 189,621.20/x
  3. Step 3: Cross multiply
    322,907.60x = 484,649.40 × 189,621.20
  4. Step 4: Simplify right side
    322,907.60x = 91,899,800,807.28
  5. Step 5: Solve for x
    x = 91,899,800,807.28/322,907.60
  6. Step 6: Final answer
    x = 284,600.92

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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.