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Finding the Fourth Proportional to 210,199.52, 315,423.79 and 196,900.40

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Solution

The fourth proportional to 210,199.52, 315,423.79 and 196,900.40 is: 295,467.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,199.52 : 315,423.79 = 196,900.40 : x
  2. Step 2: Convert to fraction form
    210,199.52/315,423.79 = 196,900.40/x
  3. Step 3: Cross multiply
    210,199.52x = 315,423.79 × 196,900.40
  4. Step 4: Simplify right side
    210,199.52x = 62,107,070,716.82
  5. Step 5: Solve for x
    x = 62,107,070,716.82/210,199.52
  6. Step 6: Final answer
    x = 295,467.23

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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.