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Finding the Fourth Proportional to 229,145.46, 316,149.85 and 133,584.49

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Solution

The fourth proportional to 229,145.46, 316,149.85 and 133,584.49 is: 184,305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,145.46 : 316,149.85 = 133,584.49 : x
  2. Step 2: Convert to fraction form
    229,145.46/316,149.85 = 133,584.49/x
  3. Step 3: Cross multiply
    229,145.46x = 316,149.85 × 133,584.49
  4. Step 4: Simplify right side
    229,145.46x = 42,232,716,475.83
  5. Step 5: Solve for x
    x = 42,232,716,475.83/229,145.46
  6. Step 6: Final answer
    x = 184,305.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.