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Finding the Fourth Proportional to 557,964.60, 770,361.72 and 428,672.64

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Solution

The fourth proportional to 557,964.60, 770,361.72 and 428,672.64 is: 591,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,964.60 : 770,361.72 = 428,672.64 : x
  2. Step 2: Convert to fraction form
    557,964.60/770,361.72 = 428,672.64/x
  3. Step 3: Cross multiply
    557,964.60x = 770,361.72 × 428,672.64
  4. Step 4: Simplify right side
    557,964.60x = 330,232,992,267.34
  5. Step 5: Solve for x
    x = 330,232,992,267.34/557,964.60
  6. Step 6: Final answer
    x = 591,852.95

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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.