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Finding the Fourth Proportional to 378,415.53, 522,186.75 and 208,646.01

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Solution

The fourth proportional to 378,415.53, 522,186.75 and 208,646.01 is: 287,916.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,415.53 : 522,186.75 = 208,646.01 : x
  2. Step 2: Convert to fraction form
    378,415.53/522,186.75 = 208,646.01/x
  3. Step 3: Cross multiply
    378,415.53x = 522,186.75 × 208,646.01
  4. Step 4: Simplify right side
    378,415.53x = 108,952,181,862.37
  5. Step 5: Solve for x
    x = 108,952,181,862.37/378,415.53
  6. Step 6: Final answer
    x = 287,916.78

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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.