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Finding the Fourth Proportional to 203,309.61, 280,673.46 and 157,885.62

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Solution

The fourth proportional to 203,309.61, 280,673.46 and 157,885.62 is: 217,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,309.61 : 280,673.46 = 157,885.62 : x
  2. Step 2: Convert to fraction form
    203,309.61/280,673.46 = 157,885.62/x
  3. Step 3: Cross multiply
    203,309.61x = 280,673.46 × 157,885.62
  4. Step 4: Simplify right side
    203,309.61x = 44,314,303,249.65
  5. Step 5: Solve for x
    x = 44,314,303,249.65/203,309.61
  6. Step 6: Final answer
    x = 217,964.63

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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.