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Finding the Fourth Proportional to 313,955.96, 470,950.28 and 103,610.30

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Solution

The fourth proportional to 313,955.96, 470,950.28 and 103,610.30 is: 155,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,955.96 : 470,950.28 = 103,610.30 : x
  2. Step 2: Convert to fraction form
    313,955.96/470,950.28 = 103,610.30/x
  3. Step 3: Cross multiply
    313,955.96x = 470,950.28 × 103,610.30
  4. Step 4: Simplify right side
    313,955.96x = 48,795,299,795.88
  5. Step 5: Solve for x
    x = 48,795,299,795.88/313,955.96
  6. Step 6: Final answer
    x = 155,420.84

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1.5x scale

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.