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Finding the Fourth Proportional to 289,004.23, 433,630.88 and 120,557.73

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Solution

The fourth proportional to 289,004.23, 433,630.88 and 120,557.73 is: 180,888.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,004.23 : 433,630.88 = 120,557.73 : x
  2. Step 2: Convert to fraction form
    289,004.23/433,630.88 = 120,557.73/x
  3. Step 3: Cross multiply
    289,004.23x = 433,630.88 × 120,557.73
  4. Step 4: Simplify right side
    289,004.23x = 52,277,554,550.70
  5. Step 5: Solve for x
    x = 52,277,554,550.70/289,004.23
  6. Step 6: Final answer
    x = 180,888.54

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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.