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Finding the Fourth Proportional to 210,306.64, 315,289.80 and 143,578.96

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Solution

The fourth proportional to 210,306.64, 315,289.80 and 143,578.96 is: 215,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,306.64 : 315,289.80 = 143,578.96 : x
  2. Step 2: Convert to fraction form
    210,306.64/315,289.80 = 143,578.96/x
  3. Step 3: Cross multiply
    210,306.64x = 315,289.80 × 143,578.96
  4. Step 4: Simplify right side
    210,306.64x = 45,268,981,582.61
  5. Step 5: Solve for x
    x = 45,268,981,582.61/210,306.64
  6. Step 6: Final answer
    x = 215,252.27

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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.