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Finding the Fourth Proportional to 378,016.40, 521,656.80 and 208,256.60

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Solution

The fourth proportional to 378,016.40, 521,656.80 and 208,256.60 is: 287,390.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,016.40 : 521,656.80 = 208,256.60 : x
  2. Step 2: Convert to fraction form
    378,016.40/521,656.80 = 208,256.60/x
  3. Step 3: Cross multiply
    378,016.40x = 521,656.80 × 208,256.60
  4. Step 4: Simplify right side
    378,016.40x = 108,638,471,534.88
  5. Step 5: Solve for x
    x = 108,638,471,534.88/378,016.40
  6. Step 6: Final answer
    x = 287,390.90

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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.