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Finding the Fourth Proportional to 379,271.84, 523,519.86 and 301,889.42

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Solution

The fourth proportional to 379,271.84, 523,519.86 and 301,889.42 is: 416,706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,271.84 : 523,519.86 = 301,889.42 : x
  2. Step 2: Convert to fraction form
    379,271.84/523,519.86 = 301,889.42/x
  3. Step 3: Cross multiply
    379,271.84x = 523,519.86 × 301,889.42
  4. Step 4: Simplify right side
    379,271.84x = 158,045,110,316.37
  5. Step 5: Solve for x
    x = 158,045,110,316.37/379,271.84
  6. Step 6: Final answer
    x = 416,706.69

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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.