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Finding the Fourth Proportional to 357,321.76, 493,334.76 and 221,500.16

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Solution

The fourth proportional to 357,321.76, 493,334.76 and 221,500.16 is: 305,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,321.76 : 493,334.76 = 221,500.16 : x
  2. Step 2: Convert to fraction form
    357,321.76/493,334.76 = 221,500.16/x
  3. Step 3: Cross multiply
    357,321.76x = 493,334.76 × 221,500.16
  4. Step 4: Simplify right side
    357,321.76x = 109,273,728,273.56
  5. Step 5: Solve for x
    x = 109,273,728,273.56/357,321.76
  6. Step 6: Final answer
    x = 305,813.25

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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.