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Finding the Fourth Proportional to 405,649.50, 608,344.85 and 139,345.80

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Solution

The fourth proportional to 405,649.50, 608,344.85 and 139,345.80 is: 208,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,649.50 : 608,344.85 = 139,345.80 : x
  2. Step 2: Convert to fraction form
    405,649.50/608,344.85 = 139,345.80/x
  3. Step 3: Cross multiply
    405,649.50x = 608,344.85 × 139,345.80
  4. Step 4: Simplify right side
    405,649.50x = 84,770,299,102.40
  5. Step 5: Solve for x
    x = 84,770,299,102.40/405,649.50
  6. Step 6: Final answer
    x = 208,974.25

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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.