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Finding the Fourth Proportional to 452,409.49, 678,613.80 and 115,450.15

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Solution

The fourth proportional to 452,409.49, 678,613.80 and 115,450.15 is: 173,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,409.49 : 678,613.80 = 115,450.15 : x
  2. Step 2: Convert to fraction form
    452,409.49/678,613.80 = 115,450.15/x
  3. Step 3: Cross multiply
    452,409.49x = 678,613.80 × 115,450.15
  4. Step 4: Simplify right side
    452,409.49x = 78,346,063,894.22
  5. Step 5: Solve for x
    x = 78,346,063,894.22/452,409.49
  6. Step 6: Final answer
    x = 173,175.11

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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.