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Finding the Fourth Proportional to 228,706.34, 315,409.14 and 148,049.78

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Solution

The fourth proportional to 228,706.34, 315,409.14 and 148,049.78 is: 204,175.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,706.34 : 315,409.14 = 148,049.78 : x
  2. Step 2: Convert to fraction form
    228,706.34/315,409.14 = 148,049.78/x
  3. Step 3: Cross multiply
    228,706.34x = 315,409.14 × 148,049.78
  4. Step 4: Simplify right side
    228,706.34x = 46,696,252,209.94
  5. Step 5: Solve for x
    x = 46,696,252,209.94/228,706.34
  6. Step 6: Final answer
    x = 204,175.60

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1.5x scale

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.