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Finding the Fourth Proportional to 285,288.48, 427,893.84 and 127,474.56

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Solution

The fourth proportional to 285,288.48, 427,893.84 and 127,474.56 is: 191,194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,288.48 : 427,893.84 = 127,474.56 : x
  2. Step 2: Convert to fraction form
    285,288.48/427,893.84 = 127,474.56/x
  3. Step 3: Cross multiply
    285,288.48x = 427,893.84 × 127,474.56
  4. Step 4: Simplify right side
    285,288.48x = 54,545,578,980.71
  5. Step 5: Solve for x
    x = 54,545,578,980.71/285,288.48
  6. Step 6: Final answer
    x = 191,194.47

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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.