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Finding the Fourth Proportional to 315,223.53, 470,059.08 and 312,380.43

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Solution

The fourth proportional to 315,223.53, 470,059.08 and 312,380.43 is: 465,819.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,223.53 : 470,059.08 = 312,380.43 : x
  2. Step 2: Convert to fraction form
    315,223.53/470,059.08 = 312,380.43/x
  3. Step 3: Cross multiply
    315,223.53x = 470,059.08 × 312,380.43
  4. Step 4: Simplify right side
    315,223.53x = 146,837,257,535.80
  5. Step 5: Solve for x
    x = 146,837,257,535.80/315,223.53
  6. Step 6: Final answer
    x = 465,819.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.