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Finding the Fourth Proportional to 281,696.50, 388,740.53 and 152,638.49

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Solution

The fourth proportional to 281,696.50, 388,740.53 and 152,638.49 is: 210,640.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,696.50 : 388,740.53 = 152,638.49 : x
  2. Step 2: Convert to fraction form
    281,696.50/388,740.53 = 152,638.49/x
  3. Step 3: Cross multiply
    281,696.50x = 388,740.53 × 152,638.49
  4. Step 4: Simplify right side
    281,696.50x = 59,336,766,737.81
  5. Step 5: Solve for x
    x = 59,336,766,737.81/281,696.50
  6. Step 6: Final answer
    x = 210,640.77

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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.