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Finding the Fourth Proportional to 557,964.88, 770,007.48 and 340,186.12

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Solution

The fourth proportional to 557,964.88, 770,007.48 and 340,186.12 is: 469,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,964.88 : 770,007.48 = 340,186.12 : x
  2. Step 2: Convert to fraction form
    557,964.88/770,007.48 = 340,186.12/x
  3. Step 3: Cross multiply
    557,964.88x = 770,007.48 × 340,186.12
  4. Step 4: Simplify right side
    557,964.88x = 261,945,856,992.18
  5. Step 5: Solve for x
    x = 261,945,856,992.18/557,964.88
  6. Step 6: Final answer
    x = 469,466.57

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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.