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Finding the Fourth Proportional to 568,071.72, 783,903.33 and 313,424.64

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Solution

The fourth proportional to 568,071.72, 783,903.33 and 313,424.64 is: 432,506.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,071.72 : 783,903.33 = 313,424.64 : x
  2. Step 2: Convert to fraction form
    568,071.72/783,903.33 = 313,424.64/x
  3. Step 3: Cross multiply
    568,071.72x = 783,903.33 × 313,424.64
  4. Step 4: Simplify right side
    568,071.72x = 245,694,619,000.05
  5. Step 5: Solve for x
    x = 245,694,619,000.05/568,071.72
  6. Step 6: Final answer
    x = 432,506.34

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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.