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Finding the Fourth Proportional to 549,311, 757,985.36 and 319,918.44

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Solution

The fourth proportional to 549,311, 757,985.36 and 319,918.44 is: 441,450.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,311 : 757,985.36 = 319,918.44 : x
  2. Step 2: Convert to fraction form
    549,311/757,985.36 = 319,918.44/x
  3. Step 3: Cross multiply
    549,311x = 757,985.36 × 319,918.44
  4. Step 4: Simplify right side
    549,311x = 242,493,493,914.04
  5. Step 5: Solve for x
    x = 242,493,493,914.04/549,311
  6. Step 6: Final answer
    x = 441,450.28

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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.