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Finding the Fourth Proportional to 560,279.64, 773,180.92 and 305,625.36

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Solution

The fourth proportional to 560,279.64, 773,180.92 and 305,625.36 is: 421,760.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,279.64 : 773,180.92 = 305,625.36 : x
  2. Step 2: Convert to fraction form
    560,279.64/773,180.92 = 305,625.36/x
  3. Step 3: Cross multiply
    560,279.64x = 773,180.92 × 305,625.36
  4. Step 4: Simplify right side
    560,279.64x = 236,303,697,020.13
  5. Step 5: Solve for x
    x = 236,303,697,020.13/560,279.64
  6. Step 6: Final answer
    x = 421,760.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.