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Finding the Fourth Proportional to 507,369.88, 700,175.58 and 306,127

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Solution

The fourth proportional to 507,369.88, 700,175.58 and 306,127 is: 422,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,369.88 : 700,175.58 = 306,127 : x
  2. Step 2: Convert to fraction form
    507,369.88/700,175.58 = 306,127/x
  3. Step 3: Cross multiply
    507,369.88x = 700,175.58 × 306,127
  4. Step 4: Simplify right side
    507,369.88x = 214,342,649,778.66
  5. Step 5: Solve for x
    x = 214,342,649,778.66/507,369.88
  6. Step 6: Final answer
    x = 422,458.36

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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.