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Finding the Fourth Proportional to 412,868.21, 569,728.87 and 229,116.65

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Solution

The fourth proportional to 412,868.21, 569,728.87 and 229,116.65 is: 316,164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,868.21 : 569,728.87 = 229,116.65 : x
  2. Step 2: Convert to fraction form
    412,868.21/569,728.87 = 229,116.65/x
  3. Step 3: Cross multiply
    412,868.21x = 569,728.87 × 229,116.65
  4. Step 4: Simplify right side
    412,868.21x = 130,534,370,102.69
  5. Step 5: Solve for x
    x = 130,534,370,102.69/412,868.21
  6. Step 6: Final answer
    x = 316,164.74

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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.