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Finding the Fourth Proportional to 513,874.90, 770,927.55 and 158,905.30

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Solution

The fourth proportional to 513,874.90, 770,927.55 and 158,905.30 is: 238,393.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,874.90 : 770,927.55 = 158,905.30 : x
  2. Step 2: Convert to fraction form
    513,874.90/770,927.55 = 158,905.30/x
  3. Step 3: Cross multiply
    513,874.90x = 770,927.55 × 158,905.30
  4. Step 4: Simplify right side
    513,874.90x = 122,504,473,611.02
  5. Step 5: Solve for x
    x = 122,504,473,611.02/513,874.90
  6. Step 6: Final answer
    x = 238,393.57

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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.