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Finding the Fourth Proportional to 281,283.02, 388,074.03 and 160,337.06

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Solution

The fourth proportional to 281,283.02, 388,074.03 and 160,337.06 is: 221,210.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,283.02 : 388,074.03 = 160,337.06 : x
  2. Step 2: Convert to fraction form
    281,283.02/388,074.03 = 160,337.06/x
  3. Step 3: Cross multiply
    281,283.02x = 388,074.03 × 160,337.06
  4. Step 4: Simplify right side
    281,283.02x = 62,222,647,092.18
  5. Step 5: Solve for x
    x = 62,222,647,092.18/281,283.02
  6. Step 6: Final answer
    x = 221,210.11

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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.