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Finding the Fourth Proportional to 210,008.60, 315,012.90 and 200,823.20

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Solution

The fourth proportional to 210,008.60, 315,012.90 and 200,823.20 is: 301,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,008.60 : 315,012.90 = 200,823.20 : x
  2. Step 2: Convert to fraction form
    210,008.60/315,012.90 = 200,823.20/x
  3. Step 3: Cross multiply
    210,008.60x = 315,012.90 × 200,823.20
  4. Step 4: Simplify right side
    210,008.60x = 63,261,898,619.28
  5. Step 5: Solve for x
    x = 63,261,898,619.28/210,008.60
  6. Step 6: Final answer
    x = 301,234.80

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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.