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Finding the Fourth Proportional to 281,699.23, 388,782.17 and 160,813.21

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Solution

The fourth proportional to 281,699.23, 388,782.17 and 160,813.21 is: 221,943.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,699.23 : 388,782.17 = 160,813.21 : x
  2. Step 2: Convert to fraction form
    281,699.23/388,782.17 = 160,813.21/x
  3. Step 3: Cross multiply
    281,699.23x = 388,782.17 × 160,813.21
  4. Step 4: Simplify right side
    281,699.23x = 62,521,308,748.47
  5. Step 5: Solve for x
    x = 62,521,308,748.47/281,699.23
  6. Step 6: Final answer
    x = 221,943.48

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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.