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Finding the Fourth Proportional to 503,300.89, 694,290.56 and 299,206.64

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Solution

The fourth proportional to 503,300.89, 694,290.56 and 299,206.64 is: 412,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,300.89 : 694,290.56 = 299,206.64 : x
  2. Step 2: Convert to fraction form
    503,300.89/694,290.56 = 299,206.64/x
  3. Step 3: Cross multiply
    503,300.89x = 694,290.56 × 299,206.64
  4. Step 4: Simplify right side
    503,300.89x = 207,736,340,673.83
  5. Step 5: Solve for x
    x = 207,736,340,673.83/503,300.89
  6. Step 6: Final answer
    x = 412,747.81

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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.