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Finding the Fourth Proportional to 285,223.80, 393,493.62 and 164,300.28

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Solution

The fourth proportional to 285,223.80, 393,493.62 and 164,300.28 is: 226,668.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,223.80 : 393,493.62 = 164,300.28 : x
  2. Step 2: Convert to fraction form
    285,223.80/393,493.62 = 164,300.28/x
  3. Step 3: Cross multiply
    285,223.80x = 393,493.62 × 164,300.28
  4. Step 4: Simplify right side
    285,223.80x = 64,651,111,944.21
  5. Step 5: Solve for x
    x = 64,651,111,944.21/285,223.80
  6. Step 6: Final answer
    x = 226,668.01

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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.