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Finding the Fourth Proportional to 213,165.20, 319,747.80 and 149,574.80

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Solution

The fourth proportional to 213,165.20, 319,747.80 and 149,574.80 is: 224,362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,165.20 : 319,747.80 = 149,574.80 : x
  2. Step 2: Convert to fraction form
    213,165.20/319,747.80 = 149,574.80/x
  3. Step 3: Cross multiply
    213,165.20x = 319,747.80 × 149,574.80
  4. Step 4: Simplify right side
    213,165.20x = 47,826,213,235.44
  5. Step 5: Solve for x
    x = 47,826,213,235.44/213,165.20
  6. Step 6: Final answer
    x = 224,362.20

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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.