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Finding the Fourth Proportional to 434,383.72, 599,094.11 and 305,748.02

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Solution

The fourth proportional to 434,383.72, 599,094.11 and 305,748.02 is: 421,682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,383.72 : 599,094.11 = 305,748.02 : x
  2. Step 2: Convert to fraction form
    434,383.72/599,094.11 = 305,748.02/x
  3. Step 3: Cross multiply
    434,383.72x = 599,094.11 × 305,748.02
  4. Step 4: Simplify right side
    434,383.72x = 183,171,836,397.42
  5. Step 5: Solve for x
    x = 183,171,836,397.42/434,383.72
  6. Step 6: Final answer
    x = 421,682.10

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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.