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Finding the Fourth Proportional to 378,108, 521,799.98 and 208,353.06

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Solution

The fourth proportional to 378,108, 521,799.98 and 208,353.06 is: 287,533.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,108 : 521,799.98 = 208,353.06 : x
  2. Step 2: Convert to fraction form
    378,108/521,799.98 = 208,353.06/x
  3. Step 3: Cross multiply
    378,108x = 521,799.98 × 208,353.06
  4. Step 4: Simplify right side
    378,108x = 108,718,621,499.17
  5. Step 5: Solve for x
    x = 108,718,621,499.17/378,108
  6. Step 6: Final answer
    x = 287,533.25

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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.