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Finding the Fourth Proportional to 213,145.20, 319,717.80 and 149,554.80

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Solution

The fourth proportional to 213,145.20, 319,717.80 and 149,554.80 is: 224,332.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,145.20 : 319,717.80 = 149,554.80 : x
  2. Step 2: Convert to fraction form
    213,145.20/319,717.80 = 149,554.80/x
  3. Step 3: Cross multiply
    213,145.20x = 319,717.80 × 149,554.80
  4. Step 4: Simplify right side
    213,145.20x = 47,815,331,635.44
  5. Step 5: Solve for x
    x = 47,815,331,635.44/213,145.20
  6. Step 6: Final answer
    x = 224,332.20

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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.