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Finding the Fourth Proportional to 380,301.86, 524,795.76 and 208,186.54

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Solution

The fourth proportional to 380,301.86, 524,795.76 and 208,186.54 is: 287,286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,301.86 : 524,795.76 = 208,186.54 : x
  2. Step 2: Convert to fraction form
    380,301.86/524,795.76 = 208,186.54/x
  3. Step 3: Cross multiply
    380,301.86x = 524,795.76 × 208,186.54
  4. Step 4: Simplify right side
    380,301.86x = 109,255,412,169.08
  5. Step 5: Solve for x
    x = 109,255,412,169.08/380,301.86
  6. Step 6: Final answer
    x = 287,286.03

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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.