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Finding the Fourth Proportional to 288,206.40, 397,708.32 and 160,890.06

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Solution

The fourth proportional to 288,206.40, 397,708.32 and 160,890.06 is: 222,019.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,206.40 : 397,708.32 = 160,890.06 : x
  2. Step 2: Convert to fraction form
    288,206.40/397,708.32 = 160,890.06/x
  3. Step 3: Cross multiply
    288,206.40x = 397,708.32 × 160,890.06
  4. Step 4: Simplify right side
    288,206.40x = 63,987,315,467.30
  5. Step 5: Solve for x
    x = 63,987,315,467.30/288,206.40
  6. Step 6: Final answer
    x = 222,019.07

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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.