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Finding the Fourth Proportional to 378,013.54, 521,658.65 and 208,247.66

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Solution

The fourth proportional to 378,013.54, 521,658.65 and 208,247.66 is: 287,381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,013.54 : 521,658.65 = 208,247.66 : x
  2. Step 2: Convert to fraction form
    378,013.54/521,658.65 = 208,247.66/x
  3. Step 3: Cross multiply
    378,013.54x = 521,658.65 × 208,247.66
  4. Step 4: Simplify right side
    378,013.54x = 108,634,193,181.26
  5. Step 5: Solve for x
    x = 108,634,193,181.26/378,013.54
  6. Step 6: Final answer
    x = 287,381.76

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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.