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Finding the Fourth Proportional to 380,546.68, 525,147.75 and 208,468.06

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Solution

The fourth proportional to 380,546.68, 525,147.75 and 208,468.06 is: 287,682.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,546.68 : 525,147.75 = 208,468.06 : x
  2. Step 2: Convert to fraction form
    380,546.68/525,147.75 = 208,468.06/x
  3. Step 3: Cross multiply
    380,546.68x = 525,147.75 × 208,468.06
  4. Step 4: Simplify right side
    380,546.68x = 109,476,532,655.87
  5. Step 5: Solve for x
    x = 109,476,532,655.87/380,546.68
  6. Step 6: Final answer
    x = 287,682.27

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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.