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Finding the Fourth Proportional to 313,821.64, 470,735.75 and 124,328.13

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Solution

The fourth proportional to 313,821.64, 470,735.75 and 124,328.13 is: 186,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,821.64 : 470,735.75 = 124,328.13 : x
  2. Step 2: Convert to fraction form
    313,821.64/470,735.75 = 124,328.13/x
  3. Step 3: Cross multiply
    313,821.64x = 470,735.75 × 124,328.13
  4. Step 4: Simplify right side
    313,821.64x = 58,525,695,521.65
  5. Step 5: Solve for x
    x = 58,525,695,521.65/313,821.64
  6. Step 6: Final answer
    x = 186,493.50

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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.