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Finding the Fourth Proportional to 230,484, 345,726 and 55,380

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Solution

The fourth proportional to 230,484, 345,726 and 55,380 is: 83,070

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,484 : 345,726 = 55,380 : x
  2. Step 2: Convert to fraction form
    230,484/345,726 = 55,380/x
  3. Step 3: Cross multiply
    230,484x = 345,726 × 55,380
  4. Step 4: Simplify right side
    230,484x = 19,146,305,880
  5. Step 5: Solve for x
    x = 19,146,305,880/230,484
  6. Step 6: Final answer
    x = 83,070

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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.