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Finding the Fourth Proportional to 228,588.41, 315,606.16 and 142,678.27

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Solution

The fourth proportional to 228,588.41, 315,606.16 and 142,678.27 is: 196,992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,588.41 : 315,606.16 = 142,678.27 : x
  2. Step 2: Convert to fraction form
    228,588.41/315,606.16 = 142,678.27/x
  3. Step 3: Cross multiply
    228,588.41x = 315,606.16 × 142,678.27
  4. Step 4: Simplify right side
    228,588.41x = 45,030,141,483.00
  5. Step 5: Solve for x
    x = 45,030,141,483.00/228,588.41
  6. Step 6: Final answer
    x = 196,992.23

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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.