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Finding the Fourth Proportional to 289,855.94, 400,021.67 and 160,835.69

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Solution

The fourth proportional to 289,855.94, 400,021.67 and 160,835.69 is: 221,964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,855.94 : 400,021.67 = 160,835.69 : x
  2. Step 2: Convert to fraction form
    289,855.94/400,021.67 = 160,835.69/x
  3. Step 3: Cross multiply
    289,855.94x = 400,021.67 × 160,835.69
  4. Step 4: Simplify right side
    289,855.94x = 64,337,762,711.55
  5. Step 5: Solve for x
    x = 64,337,762,711.55/289,855.94
  6. Step 6: Final answer
    x = 221,964.62

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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.