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Finding the Fourth Proportional to 288,040.82, 397,496.08 and 160,716.41

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Solution

The fourth proportional to 288,040.82, 397,496.08 and 160,716.41 is: 221,788.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,040.82 : 397,496.08 = 160,716.41 : x
  2. Step 2: Convert to fraction form
    288,040.82/397,496.08 = 160,716.41/x
  3. Step 3: Cross multiply
    288,040.82x = 397,496.08 × 160,716.41
  4. Step 4: Simplify right side
    288,040.82x = 63,884,142,966.67
  5. Step 5: Solve for x
    x = 63,884,142,966.67/288,040.82
  6. Step 6: Final answer
    x = 221,788.51

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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.