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Finding the Fourth Proportional to 503,289.72, 755,065.26 and 187,749

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Solution

The fourth proportional to 503,289.72, 755,065.26 and 187,749 is: 281,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,289.72 : 755,065.26 = 187,749 : x
  2. Step 2: Convert to fraction form
    503,289.72/755,065.26 = 187,749/x
  3. Step 3: Cross multiply
    503,289.72x = 755,065.26 × 187,749
  4. Step 4: Simplify right side
    503,289.72x = 141,762,747,499.74
  5. Step 5: Solve for x
    x = 141,762,747,499.74/503,289.72
  6. Step 6: Final answer
    x = 281,672.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.