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Finding the Fourth Proportional to 285,215.44, 393,638.46 and 164,333.56

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Solution

The fourth proportional to 285,215.44, 393,638.46 and 164,333.56 is: 226,804.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,215.44 : 393,638.46 = 164,333.56 : x
  2. Step 2: Convert to fraction form
    285,215.44/393,638.46 = 164,333.56/x
  3. Step 3: Cross multiply
    285,215.44x = 393,638.46 × 164,333.56
  4. Step 4: Simplify right side
    285,215.44x = 64,688,009,484.72
  5. Step 5: Solve for x
    x = 64,688,009,484.72/285,215.44
  6. Step 6: Final answer
    x = 226,804.02

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1.5x scale

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.