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Finding the Fourth Proportional to 434,385.54, 599,096.62 and 305,749.85

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Solution

The fourth proportional to 434,385.54, 599,096.62 and 305,749.85 is: 421,684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,385.54 : 599,096.62 = 305,749.85 : x
  2. Step 2: Convert to fraction form
    434,385.54/599,096.62 = 305,749.85/x
  3. Step 3: Cross multiply
    434,385.54x = 599,096.62 × 305,749.85
  4. Step 4: Simplify right side
    434,385.54x = 183,173,700,772.17
  5. Step 5: Solve for x
    x = 183,173,700,772.17/434,385.54
  6. Step 6: Final answer
    x = 421,684.62

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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.