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Finding the Fourth Proportional to 684,407.30, 944,488.05 and 378,467.78

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Solution

The fourth proportional to 684,407.30, 944,488.05 and 378,467.78 is: 522,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,407.30 : 944,488.05 = 378,467.78 : x
  2. Step 2: Convert to fraction form
    684,407.30/944,488.05 = 378,467.78/x
  3. Step 3: Cross multiply
    684,407.30x = 944,488.05 × 378,467.78
  4. Step 4: Simplify right side
    684,407.30x = 357,458,295,520.03
  5. Step 5: Solve for x
    x = 357,458,295,520.03/684,407.30
  6. Step 6: Final answer
    x = 522,288.84

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1.5x scale

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.