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Finding the Fourth Proportional to 285,428.07, 428,182.05 and 116,972.31

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Solution

The fourth proportional to 285,428.07, 428,182.05 and 116,972.31 is: 175,474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,428.07 : 428,182.05 = 116,972.31 : x
  2. Step 2: Convert to fraction form
    285,428.07/428,182.05 = 116,972.31/x
  3. Step 3: Cross multiply
    285,428.07x = 428,182.05 × 116,972.31
  4. Step 4: Simplify right side
    285,428.07x = 50,085,443,489.04
  5. Step 5: Solve for x
    x = 50,085,443,489.04/285,428.07
  6. Step 6: Final answer
    x = 175,474.84

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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.