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Finding the Fourth Proportional to 213,868.20, 320,802.30 and 178,876.20

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Solution

The fourth proportional to 213,868.20, 320,802.30 and 178,876.20 is: 268,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,868.20 : 320,802.30 = 178,876.20 : x
  2. Step 2: Convert to fraction form
    213,868.20/320,802.30 = 178,876.20/x
  3. Step 3: Cross multiply
    213,868.20x = 320,802.30 × 178,876.20
  4. Step 4: Simplify right side
    213,868.20x = 57,383,896,375.26
  5. Step 5: Solve for x
    x = 57,383,896,375.26/213,868.20
  6. Step 6: Final answer
    x = 268,314.30

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1.5x scale

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.