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Finding the Fourth Proportional to 275,405.66, 412,776.28 and 142,213.31

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Solution

The fourth proportional to 275,405.66, 412,776.28 and 142,213.31 is: 213,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,405.66 : 412,776.28 = 142,213.31 : x
  2. Step 2: Convert to fraction form
    275,405.66/412,776.28 = 142,213.31/x
  3. Step 3: Cross multiply
    275,405.66x = 412,776.28 × 142,213.31
  4. Step 4: Simplify right side
    275,405.66x = 58,702,281,068.29
  5. Step 5: Solve for x
    x = 58,702,281,068.29/275,405.66
  6. Step 6: Final answer
    x = 213,148.42

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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.