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Finding the Fourth Proportional to 289,324.60, 433,986.90 and 242,668.60

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Solution

The fourth proportional to 289,324.60, 433,986.90 and 242,668.60 is: 364,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,324.60 : 433,986.90 = 242,668.60 : x
  2. Step 2: Convert to fraction form
    289,324.60/433,986.90 = 242,668.60/x
  3. Step 3: Cross multiply
    289,324.60x = 433,986.90 × 242,668.60
  4. Step 4: Simplify right side
    289,324.60x = 105,314,993,441.34
  5. Step 5: Solve for x
    x = 105,314,993,441.34/289,324.60
  6. Step 6: Final answer
    x = 364,002.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.