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Finding the Fourth Proportional to 313,879.65, 470,748.48 and 89,235.10

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Solution

The fourth proportional to 313,879.65, 470,748.48 and 89,235.10 is: 133,832.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,879.65 : 470,748.48 = 89,235.10 : x
  2. Step 2: Convert to fraction form
    313,879.65/470,748.48 = 89,235.10/x
  3. Step 3: Cross multiply
    313,879.65x = 470,748.48 × 89,235.10
  4. Step 4: Simplify right side
    313,879.65x = 42,007,287,687.65
  5. Step 5: Solve for x
    x = 42,007,287,687.65/313,879.65
  6. Step 6: Final answer
    x = 133,832.47

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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.