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Finding the Fourth Proportional to 421,679.10, 632,328.48 and 208,363.85

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Solution

The fourth proportional to 421,679.10, 632,328.48 and 208,363.85 is: 312,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,679.10 : 632,328.48 = 208,363.85 : x
  2. Step 2: Convert to fraction form
    421,679.10/632,328.48 = 208,363.85/x
  3. Step 3: Cross multiply
    421,679.10x = 632,328.48 × 208,363.85
  4. Step 4: Simplify right side
    421,679.10x = 131,754,393,395.81
  5. Step 5: Solve for x
    x = 131,754,393,395.81/421,679.10
  6. Step 6: Final answer
    x = 312,451.80

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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.