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Finding the Fourth Proportional to 281,306.91, 388,193.88 and 160,487.31

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Solution

The fourth proportional to 281,306.91, 388,193.88 and 160,487.31 is: 221,466.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,306.91 : 388,193.88 = 160,487.31 : x
  2. Step 2: Convert to fraction form
    281,306.91/388,193.88 = 160,487.31/x
  3. Step 3: Cross multiply
    281,306.91x = 388,193.88 × 160,487.31
  4. Step 4: Simplify right side
    281,306.91x = 62,300,191,559.66
  5. Step 5: Solve for x
    x = 62,300,191,559.66/281,306.91
  6. Step 6: Final answer
    x = 221,466.98

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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.