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Finding the Fourth Proportional to 281,307.91, 388,195.26 and 160,488.31

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Solution

The fourth proportional to 281,307.91, 388,195.26 and 160,488.31 is: 221,468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,307.91 : 388,195.26 = 160,488.31 : x
  2. Step 2: Convert to fraction form
    281,307.91/388,195.26 = 160,488.31/x
  3. Step 3: Cross multiply
    281,307.91x = 388,195.26 × 160,488.31
  4. Step 4: Simplify right side
    281,307.91x = 62,300,801,227.41
  5. Step 5: Solve for x
    x = 62,300,801,227.41/281,307.91
  6. Step 6: Final answer
    x = 221,468.36

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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.