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Finding the Fourth Proportional to 309,533.93, 426,975.33 and 194,630.43

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Solution

The fourth proportional to 309,533.93, 426,975.33 and 194,630.43 is: 268,475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,533.93 : 426,975.33 = 194,630.43 : x
  2. Step 2: Convert to fraction form
    309,533.93/426,975.33 = 194,630.43/x
  3. Step 3: Cross multiply
    309,533.93x = 426,975.33 × 194,630.43
  4. Step 4: Simplify right side
    309,533.93x = 83,102,392,077.29
  5. Step 5: Solve for x
    x = 83,102,392,077.29/309,533.93
  6. Step 6: Final answer
    x = 268,475.87

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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.