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Finding the Fourth Proportional to 288,344.10, 397,926.11 and 159,289.23

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Solution

The fourth proportional to 288,344.10, 397,926.11 and 159,289.23 is: 219,825.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,344.10 : 397,926.11 = 159,289.23 : x
  2. Step 2: Convert to fraction form
    288,344.10/397,926.11 = 159,289.23/x
  3. Step 3: Cross multiply
    288,344.10x = 397,926.11 × 159,289.23
  4. Step 4: Simplify right side
    288,344.10x = 63,385,343,658.80
  5. Step 5: Solve for x
    x = 63,385,343,658.80/288,344.10
  6. Step 6: Final answer
    x = 219,825.35

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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.