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Finding the Fourth Proportional to 291,190.36, 436,474.48 and 207,831.64

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Solution

The fourth proportional to 291,190.36, 436,474.48 and 207,831.64 is: 311,525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,190.36 : 436,474.48 = 207,831.64 : x
  2. Step 2: Convert to fraction form
    291,190.36/436,474.48 = 207,831.64/x
  3. Step 3: Cross multiply
    291,190.36x = 436,474.48 × 207,831.64
  4. Step 4: Simplify right side
    291,190.36x = 90,713,206,996.55
  5. Step 5: Solve for x
    x = 90,713,206,996.55/291,190.36
  6. Step 6: Final answer
    x = 311,525.45

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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.