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Finding the Fourth Proportional to 323,706.40, 446,813.60 and 187,774.72

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Solution

The fourth proportional to 323,706.40, 446,813.60 and 187,774.72 is: 259,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,706.40 : 446,813.60 = 187,774.72 : x
  2. Step 2: Convert to fraction form
    323,706.40/446,813.60 = 187,774.72/x
  3. Step 3: Cross multiply
    323,706.40x = 446,813.60 × 187,774.72
  4. Step 4: Simplify right side
    323,706.40x = 83,900,298,632.19
  5. Step 5: Solve for x
    x = 83,900,298,632.19/323,706.40
  6. Step 6: Final answer
    x = 259,186.41

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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.