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Finding the Fourth Proportional to 285,007.70, 393,276.05 and 164,188.10

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Solution

The fourth proportional to 285,007.70, 393,276.05 and 164,188.10 is: 226,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,007.70 : 393,276.05 = 164,188.10 : x
  2. Step 2: Convert to fraction form
    285,007.70/393,276.05 = 164,188.10/x
  3. Step 3: Cross multiply
    285,007.70x = 393,276.05 × 164,188.10
  4. Step 4: Simplify right side
    285,007.70x = 64,571,247,425.01
  5. Step 5: Solve for x
    x = 64,571,247,425.01/285,007.70
  6. Step 6: Final answer
    x = 226,559.66

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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.