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Finding the Fourth Proportional to 315,186.44, 435,035.75 and 194,426.78

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Solution

The fourth proportional to 315,186.44, 435,035.75 and 194,426.78 is: 268,357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,186.44 : 435,035.75 = 194,426.78 : x
  2. Step 2: Convert to fraction form
    315,186.44/435,035.75 = 194,426.78/x
  3. Step 3: Cross multiply
    315,186.44x = 435,035.75 × 194,426.78
  4. Step 4: Simplify right side
    315,186.44x = 84,582,596,910.07
  5. Step 5: Solve for x
    x = 84,582,596,910.07/315,186.44
  6. Step 6: Final answer
    x = 268,357.35

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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.