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Finding the Fourth Proportional to 380,814.93, 525,524.90 and 211,049.06

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Solution

The fourth proportional to 380,814.93, 525,524.90 and 211,049.06 is: 291,247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,814.93 : 525,524.90 = 211,049.06 : x
  2. Step 2: Convert to fraction form
    380,814.93/525,524.90 = 211,049.06/x
  3. Step 3: Cross multiply
    380,814.93x = 525,524.90 × 211,049.06
  4. Step 4: Simplify right side
    380,814.93x = 110,911,532,468.72
  5. Step 5: Solve for x
    x = 110,911,532,468.72/380,814.93
  6. Step 6: Final answer
    x = 291,247.86

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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.