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Finding the Fourth Proportional to 228,648.57, 315,407.89 and 180,071.54

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Solution

The fourth proportional to 228,648.57, 315,407.89 and 180,071.54 is: 248,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,648.57 : 315,407.89 = 180,071.54 : x
  2. Step 2: Convert to fraction form
    228,648.57/315,407.89 = 180,071.54/x
  3. Step 3: Cross multiply
    228,648.57x = 315,407.89 × 180,071.54
  4. Step 4: Simplify right side
    228,648.57x = 56,795,986,021.75
  5. Step 5: Solve for x
    x = 56,795,986,021.75/228,648.57
  6. Step 6: Final answer
    x = 248,398.60

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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.