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Finding the Fourth Proportional to 281,202.84, 388,059.92 and 153,878.48

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Solution

The fourth proportional to 281,202.84, 388,059.92 and 153,878.48 is: 212,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,202.84 : 388,059.92 = 153,878.48 : x
  2. Step 2: Convert to fraction form
    281,202.84/388,059.92 = 153,878.48/x
  3. Step 3: Cross multiply
    281,202.84x = 388,059.92 × 153,878.48
  4. Step 4: Simplify right side
    281,202.84x = 59,714,070,638.52
  5. Step 5: Solve for x
    x = 59,714,070,638.52/281,202.84
  6. Step 6: Final answer
    x = 212,352.30

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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.