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Finding the Fourth Proportional to 285,415.50, 393,873.42 and 158,099.28

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Solution

The fourth proportional to 285,415.50, 393,873.42 and 158,099.28 is: 218,177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,415.50 : 393,873.42 = 158,099.28 : x
  2. Step 2: Convert to fraction form
    285,415.50/393,873.42 = 158,099.28/x
  3. Step 3: Cross multiply
    285,415.50x = 393,873.42 × 158,099.28
  4. Step 4: Simplify right side
    285,415.50x = 62,271,104,113.14
  5. Step 5: Solve for x
    x = 62,271,104,113.14/285,415.50
  6. Step 6: Final answer
    x = 218,177.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.