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Finding the Fourth Proportional to 307,434.37, 461,138.47 and 105,048.66

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Solution

The fourth proportional to 307,434.37, 461,138.47 and 105,048.66 is: 157,568.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,434.37 : 461,138.47 = 105,048.66 : x
  2. Step 2: Convert to fraction form
    307,434.37/461,138.47 = 105,048.66/x
  3. Step 3: Cross multiply
    307,434.37x = 461,138.47 × 105,048.66
  4. Step 4: Simplify right side
    307,434.37x = 48,441,975,923.74
  5. Step 5: Solve for x
    x = 48,441,975,923.74/307,434.37
  6. Step 6: Final answer
    x = 157,568.51

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