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Finding the Fourth Proportional to 454,683.20, 682,024.80 and 139,140.80

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Solution

The fourth proportional to 454,683.20, 682,024.80 and 139,140.80 is: 208,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,683.20 : 682,024.80 = 139,140.80 : x
  2. Step 2: Convert to fraction form
    454,683.20/682,024.80 = 139,140.80/x
  3. Step 3: Cross multiply
    454,683.20x = 682,024.80 × 139,140.80
  4. Step 4: Simplify right side
    454,683.20x = 94,897,476,291.84
  5. Step 5: Solve for x
    x = 94,897,476,291.84/454,683.20
  6. Step 6: Final answer
    x = 208,711.20

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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.