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Finding the Fourth Proportional to 275,473.52, 413,431.68 and 142,392.76

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Solution

The fourth proportional to 275,473.52, 413,431.68 and 142,392.76 is: 213,703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,473.52 : 413,431.68 = 142,392.76 : x
  2. Step 2: Convert to fraction form
    275,473.52/413,431.68 = 142,392.76/x
  3. Step 3: Cross multiply
    275,473.52x = 413,431.68 × 142,392.76
  4. Step 4: Simplify right side
    275,473.52x = 58,869,677,986.64
  5. Step 5: Solve for x
    x = 58,869,677,986.64/275,473.52
  6. Step 6: Final answer
    x = 213,703.58

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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.