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Finding the Fourth Proportional to 475,835.78, 713,940.48 and 209,409.42

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Solution

The fourth proportional to 475,835.78, 713,940.48 and 209,409.42 is: 314,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,835.78 : 713,940.48 = 209,409.42 : x
  2. Step 2: Convert to fraction form
    475,835.78/713,940.48 = 209,409.42/x
  3. Step 3: Cross multiply
    475,835.78x = 713,940.48 × 209,409.42
  4. Step 4: Simplify right side
    475,835.78x = 149,505,861,831.32
  5. Step 5: Solve for x
    x = 149,505,861,831.32/475,835.78
  6. Step 6: Final answer
    x = 314,196.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.