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Finding the Fourth Proportional to 313,819.30, 470,728.96 and 187,848.10

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Solution

The fourth proportional to 313,819.30, 470,728.96 and 187,848.10 is: 281,772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,819.30 : 470,728.96 = 187,848.10 : x
  2. Step 2: Convert to fraction form
    313,819.30/470,728.96 = 187,848.10/x
  3. Step 3: Cross multiply
    313,819.30x = 470,728.96 × 187,848.10
  4. Step 4: Simplify right side
    313,819.30x = 88,425,540,750.98
  5. Step 5: Solve for x
    x = 88,425,540,750.98/313,819.30
  6. Step 6: Final answer
    x = 281,772.16

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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.