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Finding the Fourth Proportional to 313,591.53, 470,454.12 and 89,020.65

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Solution

The fourth proportional to 313,591.53, 470,454.12 and 89,020.65 is: 133,549.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,591.53 : 470,454.12 = 89,020.65 : x
  2. Step 2: Convert to fraction form
    313,591.53/470,454.12 = 89,020.65/x
  3. Step 3: Cross multiply
    313,591.53x = 470,454.12 × 89,020.65
  4. Step 4: Simplify right side
    313,591.53x = 41,880,131,557.58
  5. Step 5: Solve for x
    x = 41,880,131,557.58/313,591.53
  6. Step 6: Final answer
    x = 133,549.94

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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.