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Finding the Fourth Proportional to 313,405.56, 470,008.50 and 102,994.92

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Solution

The fourth proportional to 313,405.56, 470,008.50 and 102,994.92 is: 154,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,405.56 : 470,008.50 = 102,994.92 : x
  2. Step 2: Convert to fraction form
    313,405.56/470,008.50 = 102,994.92/x
  3. Step 3: Cross multiply
    313,405.56x = 470,008.50 × 102,994.92
  4. Step 4: Simplify right side
    313,405.56x = 48,408,487,856.82
  5. Step 5: Solve for x
    x = 48,408,487,856.82/313,405.56
  6. Step 6: Final answer
    x = 154,459.57

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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.