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Finding the Fourth Proportional to 230,990, 346,485 and 55,886

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Solution

The fourth proportional to 230,990, 346,485 and 55,886 is: 83,829

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,990 : 346,485 = 55,886 : x
  2. Step 2: Convert to fraction form
    230,990/346,485 = 55,886/x
  3. Step 3: Cross multiply
    230,990x = 346,485 × 55,886
  4. Step 4: Simplify right side
    230,990x = 19,363,660,710
  5. Step 5: Solve for x
    x = 19,363,660,710/230,990
  6. Step 6: Final answer
    x = 83,829

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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.