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Finding the Fourth Proportional to 380,309.53, 524,807.17 and 208,194.51

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Solution

The fourth proportional to 380,309.53, 524,807.17 and 208,194.51 is: 287,297.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,309.53 : 524,807.17 = 208,194.51 : x
  2. Step 2: Convert to fraction form
    380,309.53/524,807.17 = 208,194.51/x
  3. Step 3: Cross multiply
    380,309.53x = 524,807.17 × 208,194.51
  4. Step 4: Simplify right side
    380,309.53x = 109,261,969,799.29
  5. Step 5: Solve for x
    x = 109,261,969,799.29/380,309.53
  6. Step 6: Final answer
    x = 287,297.48

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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.