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Finding the Fourth Proportional to 379,175.76, 523,290.11 and 218,081.34

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Solution

The fourth proportional to 379,175.76, 523,290.11 and 218,081.34 is: 300,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,175.76 : 523,290.11 = 218,081.34 : x
  2. Step 2: Convert to fraction form
    379,175.76/523,290.11 = 218,081.34/x
  3. Step 3: Cross multiply
    379,175.76x = 523,290.11 × 218,081.34
  4. Step 4: Simplify right side
    379,175.76x = 114,119,807,307.14
  5. Step 5: Solve for x
    x = 114,119,807,307.14/379,175.76
  6. Step 6: Final answer
    x = 300,968.10

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1.5x scale

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.