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Finding the Fourth Proportional to 213,030.80, 319,546.20 and 179,205.20

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Solution

The fourth proportional to 213,030.80, 319,546.20 and 179,205.20 is: 268,807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,030.80 : 319,546.20 = 179,205.20 : x
  2. Step 2: Convert to fraction form
    213,030.80/319,546.20 = 179,205.20/x
  3. Step 3: Cross multiply
    213,030.80x = 319,546.20 × 179,205.20
  4. Step 4: Simplify right side
    213,030.80x = 57,264,340,680.24
  5. Step 5: Solve for x
    x = 57,264,340,680.24/213,030.80
  6. Step 6: Final answer
    x = 268,807.80

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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.