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Finding the Fourth Proportional to 230,286.81, 317,796.45 and 133,509.47

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Solution

The fourth proportional to 230,286.81, 317,796.45 and 133,509.47 is: 184,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,286.81 : 317,796.45 = 133,509.47 : x
  2. Step 2: Convert to fraction form
    230,286.81/317,796.45 = 133,509.47/x
  3. Step 3: Cross multiply
    230,286.81x = 317,796.45 × 133,509.47
  4. Step 4: Simplify right side
    230,286.81x = 42,428,836,762.39
  5. Step 5: Solve for x
    x = 42,428,836,762.39/230,286.81
  6. Step 6: Final answer
    x = 184,243.46

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1.5x scale

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.