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Finding the Fourth Proportional to 478,415.53, 717,624.31 and 449,186.27

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Solution

The fourth proportional to 478,415.53, 717,624.31 and 449,186.27 is: 673,780.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,415.53 : 717,624.31 = 449,186.27 : x
  2. Step 2: Convert to fraction form
    478,415.53/717,624.31 = 449,186.27/x
  3. Step 3: Cross multiply
    478,415.53x = 717,624.31 × 449,186.27
  4. Step 4: Simplify right side
    478,415.53x = 322,346,987,741.32
  5. Step 5: Solve for x
    x = 322,346,987,741.32/478,415.53
  6. Step 6: Final answer
    x = 673,780.36

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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.