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Finding the Fourth Proportional to 786,496.80, 1,179,514.80 and 280,999.20

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Solution

The fourth proportional to 786,496.80, 1,179,514.80 and 280,999.20 is: 421,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,496.80 : 1,179,514.80 = 280,999.20 : x
  2. Step 2: Convert to fraction form
    786,496.80/1,179,514.80 = 280,999.20/x
  3. Step 3: Cross multiply
    786,496.80x = 1,179,514.80 × 280,999.20
  4. Step 4: Simplify right side
    786,496.80x = 331,442,715,188.16
  5. Step 5: Solve for x
    x = 331,442,715,188.16/786,496.80
  6. Step 6: Final answer
    x = 421,416.48

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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.