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Finding the Fourth Proportional to 355,584.64, 490,758.72 and 234,705.28

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Solution

The fourth proportional to 355,584.64, 490,758.72 and 234,705.28 is: 323,927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,584.64 : 490,758.72 = 234,705.28 : x
  2. Step 2: Convert to fraction form
    355,584.64/490,758.72 = 234,705.28/x
  3. Step 3: Cross multiply
    355,584.64x = 490,758.72 × 234,705.28
  4. Step 4: Simplify right side
    355,584.64x = 115,183,662,790.04
  5. Step 5: Solve for x
    x = 115,183,662,790.04/355,584.64
  6. Step 6: Final answer
    x = 323,927.55

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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.