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Finding the Fourth Proportional to 313,376.40, 470,064.60 and 299,725.20

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Solution

The fourth proportional to 313,376.40, 470,064.60 and 299,725.20 is: 449,587.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,376.40 : 470,064.60 = 299,725.20 : x
  2. Step 2: Convert to fraction form
    313,376.40/470,064.60 = 299,725.20/x
  3. Step 3: Cross multiply
    313,376.40x = 470,064.60 × 299,725.20
  4. Step 4: Simplify right side
    313,376.40x = 140,890,206,247.92
  5. Step 5: Solve for x
    x = 140,890,206,247.92/313,376.40
  6. Step 6: Final answer
    x = 449,587.80

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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.