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Finding the Fourth Proportional to 313,886.56, 470,763.42 and 103,474.48

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Solution

The fourth proportional to 313,886.56, 470,763.42 and 103,474.48 is: 155,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,886.56 : 470,763.42 = 103,474.48 : x
  2. Step 2: Convert to fraction form
    313,886.56/470,763.42 = 103,474.48/x
  3. Step 3: Cross multiply
    313,886.56x = 470,763.42 × 103,474.48
  4. Step 4: Simplify right side
    313,886.56x = 48,712,000,087.52
  5. Step 5: Solve for x
    x = 48,712,000,087.52/313,886.56
  6. Step 6: Final answer
    x = 155,189.82

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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.