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Finding the Fourth Proportional to 434,474.84, 598,947 and 305,019.14

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Solution

The fourth proportional to 434,474.84, 598,947 and 305,019.14 is: 420,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,474.84 : 598,947 = 305,019.14 : x
  2. Step 2: Convert to fraction form
    434,474.84/598,947 = 305,019.14/x
  3. Step 3: Cross multiply
    434,474.84x = 598,947 × 305,019.14
  4. Step 4: Simplify right side
    434,474.84x = 182,690,298,845.58
  5. Step 5: Solve for x
    x = 182,690,298,845.58/434,474.84
  6. Step 6: Final answer
    x = 420,485.34

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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.