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Finding the Fourth Proportional to 228,425.14, 315,369.66 and 146,786.44

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Solution

The fourth proportional to 228,425.14, 315,369.66 and 146,786.44 is: 202,657.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,425.14 : 315,369.66 = 146,786.44 : x
  2. Step 2: Convert to fraction form
    228,425.14/315,369.66 = 146,786.44/x
  3. Step 3: Cross multiply
    228,425.14x = 315,369.66 × 146,786.44
  4. Step 4: Simplify right side
    228,425.14x = 46,291,989,675.41
  5. Step 5: Solve for x
    x = 46,291,989,675.41/228,425.14
  6. Step 6: Final answer
    x = 202,657.16

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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.