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Finding the Fourth Proportional to 313,912.26, 470,966.40 and 103,697.82

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Solution

The fourth proportional to 313,912.26, 470,966.40 and 103,697.82 is: 155,579.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,912.26 : 470,966.40 = 103,697.82 : x
  2. Step 2: Convert to fraction form
    313,912.26/470,966.40 = 103,697.82/x
  3. Step 3: Cross multiply
    313,912.26x = 470,966.40 × 103,697.82
  4. Step 4: Simplify right side
    313,912.26x = 48,838,188,973.25
  5. Step 5: Solve for x
    x = 48,838,188,973.25/313,912.26
  6. Step 6: Final answer
    x = 155,579.11

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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.