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Finding the Fourth Proportional to 285,300.62, 393,714.23 and 164,441.07

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Solution

The fourth proportional to 285,300.62, 393,714.23 and 164,441.07 is: 226,928.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,300.62 : 393,714.23 = 164,441.07 : x
  2. Step 2: Convert to fraction form
    285,300.62/393,714.23 = 164,441.07/x
  3. Step 3: Cross multiply
    285,300.62x = 393,714.23 × 164,441.07
  4. Step 4: Simplify right side
    285,300.62x = 64,742,789,255.43
  5. Step 5: Solve for x
    x = 64,742,789,255.43/285,300.62
  6. Step 6: Final answer
    x = 226,928.32

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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.