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Finding the Fourth Proportional to 378,410.16, 522,210.12 and 208,650.36

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Solution

The fourth proportional to 378,410.16, 522,210.12 and 208,650.36 is: 287,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,410.16 : 522,210.12 = 208,650.36 : x
  2. Step 2: Convert to fraction form
    378,410.16/522,210.12 = 208,650.36/x
  3. Step 3: Cross multiply
    378,410.16x = 522,210.12 × 208,650.36
  4. Step 4: Simplify right side
    378,410.16x = 108,959,329,533.64
  5. Step 5: Solve for x
    x = 108,959,329,533.64/378,410.16
  6. Step 6: Final answer
    x = 287,939.76

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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.