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Finding the Fourth Proportional to 313,450.30, 470,251.06 and 103,077.10

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Solution

The fourth proportional to 313,450.30, 470,251.06 and 103,077.10 is: 154,640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,450.30 : 470,251.06 = 103,077.10 : x
  2. Step 2: Convert to fraction form
    313,450.30/470,251.06 = 103,077.10/x
  3. Step 3: Cross multiply
    313,450.30x = 470,251.06 × 103,077.10
  4. Step 4: Simplify right side
    313,450.30x = 48,472,115,536.73
  5. Step 5: Solve for x
    x = 48,472,115,536.73/313,450.30
  6. Step 6: Final answer
    x = 154,640.51

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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.