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Finding the Fourth Proportional to 210,760.20, 315,484.20 and 204,199.20

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Solution

The fourth proportional to 210,760.20, 315,484.20 and 204,199.20 is: 305,663.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,760.20 : 315,484.20 = 204,199.20 : x
  2. Step 2: Convert to fraction form
    210,760.20/315,484.20 = 204,199.20/x
  3. Step 3: Cross multiply
    210,760.20x = 315,484.20 × 204,199.20
  4. Step 4: Simplify right side
    210,760.20x = 64,421,621,252.64
  5. Step 5: Solve for x
    x = 64,421,621,252.64/210,760.20
  6. Step 6: Final answer
    x = 305,663.12

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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.