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Finding the Fourth Proportional to 288,104.67, 397,606.95 and 160,799.40

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Solution

The fourth proportional to 288,104.67, 397,606.95 and 160,799.40 is: 221,915.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,104.67 : 397,606.95 = 160,799.40 : x
  2. Step 2: Convert to fraction form
    288,104.67/397,606.95 = 160,799.40/x
  3. Step 3: Cross multiply
    288,104.67x = 397,606.95 × 160,799.40
  4. Step 4: Simplify right side
    288,104.67x = 63,934,958,995.83
  5. Step 5: Solve for x
    x = 63,934,958,995.83/288,104.67
  6. Step 6: Final answer
    x = 221,915.73

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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.