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Finding the Fourth Proportional to 288,008.04, 397,452.24 and 160,689

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Solution

The fourth proportional to 288,008.04, 397,452.24 and 160,689 is: 221,751.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,008.04 : 397,452.24 = 160,689 : x
  2. Step 2: Convert to fraction form
    288,008.04/397,452.24 = 160,689/x
  3. Step 3: Cross multiply
    288,008.04x = 397,452.24 × 160,689
  4. Step 4: Simplify right side
    288,008.04x = 63,866,202,993.36
  5. Step 5: Solve for x
    x = 63,866,202,993.36/288,008.04
  6. Step 6: Final answer
    x = 221,751.46

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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.