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Finding the Fourth Proportional to 406,408.48, 560,788.15 and 225,075.64

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Solution

The fourth proportional to 406,408.48, 560,788.15 and 225,075.64 is: 310,573.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,408.48 : 560,788.15 = 225,075.64 : x
  2. Step 2: Convert to fraction form
    406,408.48/560,788.15 = 225,075.64/x
  3. Step 3: Cross multiply
    406,408.48x = 560,788.15 × 225,075.64
  4. Step 4: Simplify right side
    406,408.48x = 126,219,747,836.35
  5. Step 5: Solve for x
    x = 126,219,747,836.35/406,408.48
  6. Step 6: Final answer
    x = 310,573.61

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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.