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Finding the Fourth Proportional to 315,537.44, 435,497.79 and 186,470.42

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Solution

The fourth proportional to 315,537.44, 435,497.79 and 186,470.42 is: 257,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,537.44 : 435,497.79 = 186,470.42 : x
  2. Step 2: Convert to fraction form
    315,537.44/435,497.79 = 186,470.42/x
  3. Step 3: Cross multiply
    315,537.44x = 435,497.79 × 186,470.42
  4. Step 4: Simplify right side
    315,537.44x = 81,207,453,632.88
  5. Step 5: Solve for x
    x = 81,207,453,632.88/315,537.44
  6. Step 6: Final answer
    x = 257,362.34

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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.