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Finding the Fourth Proportional to 434,181.85, 598,871.80 and 305,393.47

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Solution

The fourth proportional to 434,181.85, 598,871.80 and 305,393.47 is: 421,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,181.85 : 598,871.80 = 305,393.47 : x
  2. Step 2: Convert to fraction form
    434,181.85/598,871.80 = 305,393.47/x
  3. Step 3: Cross multiply
    434,181.85x = 598,871.80 × 305,393.47
  4. Step 4: Simplify right side
    434,181.85x = 182,891,537,087.15
  5. Step 5: Solve for x
    x = 182,891,537,087.15/434,181.85
  6. Step 6: Final answer
    x = 421,232.57

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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.