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Finding the Fourth Proportional to 313,823.72, 470,731.46 and 77,168.45

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Solution

The fourth proportional to 313,823.72, 470,731.46 and 77,168.45 is: 115,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,823.72 : 470,731.46 = 77,168.45 : x
  2. Step 2: Convert to fraction form
    313,823.72/470,731.46 = 77,168.45/x
  3. Step 3: Cross multiply
    313,823.72x = 470,731.46 × 77,168.45
  4. Step 4: Simplify right side
    313,823.72x = 36,325,614,780.78
  5. Step 5: Solve for x
    x = 36,325,614,780.78/313,823.72
  6. Step 6: Final answer
    x = 115,751.66

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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.