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Finding the Fourth Proportional to 210,446.44, 315,820.68 and 142,809.88

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Solution

The fourth proportional to 210,446.44, 315,820.68 and 142,809.88 is: 214,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,446.44 : 315,820.68 = 142,809.88 : x
  2. Step 2: Convert to fraction form
    210,446.44/315,820.68 = 142,809.88/x
  3. Step 3: Cross multiply
    210,446.44x = 315,820.68 × 142,809.88
  4. Step 4: Simplify right side
    210,446.44x = 45,102,313,412.32
  5. Step 5: Solve for x
    x = 45,102,313,412.32/210,446.44
  6. Step 6: Final answer
    x = 214,317.30

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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.