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Finding the Fourth Proportional to 281,706.48, 388,792.17 and 160,820.46

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Solution

The fourth proportional to 281,706.48, 388,792.17 and 160,820.46 is: 221,953.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,706.48 : 388,792.17 = 160,820.46 : x
  2. Step 2: Convert to fraction form
    281,706.48/388,792.17 = 160,820.46/x
  3. Step 3: Cross multiply
    281,706.48x = 388,792.17 × 160,820.46
  4. Step 4: Simplify right side
    281,706.48x = 62,525,735,623.80
  5. Step 5: Solve for x
    x = 62,525,735,623.80/281,706.48
  6. Step 6: Final answer
    x = 221,953.49

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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.