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Finding the Fourth Proportional to 285,318.64, 393,706.14 and 164,458.48

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Solution

The fourth proportional to 285,318.64, 393,706.14 and 164,458.48 is: 226,933.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,318.64 : 393,706.14 = 164,458.48 : x
  2. Step 2: Convert to fraction form
    285,318.64/393,706.14 = 164,458.48/x
  3. Step 3: Cross multiply
    285,318.64x = 393,706.14 × 164,458.48
  4. Step 4: Simplify right side
    285,318.64x = 64,748,313,351.07
  5. Step 5: Solve for x
    x = 64,748,313,351.07/285,318.64
  6. Step 6: Final answer
    x = 226,933.34

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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.