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Finding the Fourth Proportional to 289,235.88, 433,874.07 and 89,529.98

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Solution

The fourth proportional to 289,235.88, 433,874.07 and 89,529.98 is: 134,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,235.88 : 433,874.07 = 89,529.98 : x
  2. Step 2: Convert to fraction form
    289,235.88/433,874.07 = 89,529.98/x
  3. Step 3: Cross multiply
    289,235.88x = 433,874.07 × 89,529.98
  4. Step 4: Simplify right side
    289,235.88x = 38,844,734,640.25
  5. Step 5: Solve for x
    x = 38,844,734,640.25/289,235.88
  6. Step 6: Final answer
    x = 134,301.23

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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.