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Finding the Fourth Proportional to 285,154, 393,600.12 and 164,376.02

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Solution

The fourth proportional to 285,154, 393,600.12 and 164,376.02 is: 226,889.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,154 : 393,600.12 = 164,376.02 : x
  2. Step 2: Convert to fraction form
    285,154/393,600.12 = 164,376.02/x
  3. Step 3: Cross multiply
    285,154x = 393,600.12 × 164,376.02
  4. Step 4: Simplify right side
    285,154x = 64,698,421,197.12
  5. Step 5: Solve for x
    x = 64,698,421,197.12/285,154
  6. Step 6: Final answer
    x = 226,889.40

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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.