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Finding the Fourth Proportional to 378,403.54, 522,200.42 and 208,643.70

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Solution

The fourth proportional to 378,403.54, 522,200.42 and 208,643.70 is: 287,930.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,403.54 : 522,200.42 = 208,643.70 : x
  2. Step 2: Convert to fraction form
    378,403.54/522,200.42 = 208,643.70/x
  3. Step 3: Cross multiply
    378,403.54x = 522,200.42 × 208,643.70
  4. Step 4: Simplify right side
    378,403.54x = 108,953,827,770.35
  5. Step 5: Solve for x
    x = 108,953,827,770.35/378,403.54
  6. Step 6: Final answer
    x = 287,930.26

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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.