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Finding the Fourth Proportional to 285,066.78, 393,433.88 and 164,184.54

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Solution

The fourth proportional to 285,066.78, 393,433.88 and 164,184.54 is: 226,598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,066.78 : 393,433.88 = 164,184.54 : x
  2. Step 2: Convert to fraction form
    285,066.78/393,433.88 = 164,184.54/x
  3. Step 3: Cross multiply
    285,066.78x = 393,433.88 × 164,184.54
  4. Step 4: Simplify right side
    285,066.78x = 64,595,760,608.22
  5. Step 5: Solve for x
    x = 64,595,760,608.22/285,066.78
  6. Step 6: Final answer
    x = 226,598.70

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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.