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Finding the Fourth Proportional to 355,242.72, 490,234.32 and 204,368.16

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Solution

The fourth proportional to 355,242.72, 490,234.32 and 204,368.16 is: 282,027.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,242.72 : 490,234.32 = 204,368.16 : x
  2. Step 2: Convert to fraction form
    355,242.72/490,234.32 = 204,368.16/x
  3. Step 3: Cross multiply
    355,242.72x = 490,234.32 × 204,368.16
  4. Step 4: Simplify right side
    355,242.72x = 100,188,285,947.25
  5. Step 5: Solve for x
    x = 100,188,285,947.25/355,242.72
  6. Step 6: Final answer
    x = 282,027.70

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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.