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Finding the Fourth Proportional to 313,791.76, 470,683.59 and 77,136.49

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Solution

The fourth proportional to 313,791.76, 470,683.59 and 77,136.49 is: 115,703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,791.76 : 470,683.59 = 77,136.49 : x
  2. Step 2: Convert to fraction form
    313,791.76/470,683.59 = 77,136.49/x
  3. Step 3: Cross multiply
    313,791.76x = 470,683.59 × 77,136.49
  4. Step 4: Simplify right side
    313,791.76x = 36,306,880,033.20
  5. Step 5: Solve for x
    x = 36,306,880,033.20/313,791.76
  6. Step 6: Final answer
    x = 115,703.74

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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.