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Finding the Fourth Proportional to 210,446.51, 315,559.13 and 143,905.68

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Solution

The fourth proportional to 210,446.51, 315,559.13 and 143,905.68 is: 215,782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,446.51 : 315,559.13 = 143,905.68 : x
  2. Step 2: Convert to fraction form
    210,446.51/315,559.13 = 143,905.68/x
  3. Step 3: Cross multiply
    210,446.51x = 315,559.13 × 143,905.68
  4. Step 4: Simplify right side
    210,446.51x = 45,410,750,463.33
  5. Step 5: Solve for x
    x = 45,410,750,463.33/210,446.51
  6. Step 6: Final answer
    x = 215,782.87

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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.