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Finding the Fourth Proportional to 230,474, 345,711 and 55,370

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Solution

The fourth proportional to 230,474, 345,711 and 55,370 is: 83,055

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,474 : 345,711 = 55,370 : x
  2. Step 2: Convert to fraction form
    230,474/345,711 = 55,370/x
  3. Step 3: Cross multiply
    230,474x = 345,711 × 55,370
  4. Step 4: Simplify right side
    230,474x = 19,142,018,070
  5. Step 5: Solve for x
    x = 19,142,018,070/230,474
  6. Step 6: Final answer
    x = 83,055

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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.