Home / 413,023,498.20-618,100,356.60-378,586,121.40

Finding the Fourth Proportional to 413,023,498.20, 618,100,356.60 and 378,586,121.40

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Solution

The fourth proportional to 413,023,498.20, 618,100,356.60 and 378,586,121.40 is: 566,563,930.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,023,498.20 : 618,100,356.60 = 378,586,121.40 : x
  2. Step 2: Convert to fraction form
    413,023,498.20/618,100,356.60 = 378,586,121.40/x
  3. Step 3: Cross multiply
    413,023,498.20x = 618,100,356.60 × 378,586,121.40
  4. Step 4: Simplify right side
    413,023,498.20x = 234,004,216,641,150,880
  5. Step 5: Solve for x
    x = 234,004,216,641,150,880/413,023,498.20
  6. Step 6: Final answer
    x = 566,563,930.77

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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.