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Finding the Fourth Proportional to 549,905.18, 758,918.04 and 320,450

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Solution

The fourth proportional to 549,905.18, 758,918.04 and 320,450 is: 442,249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,905.18 : 758,918.04 = 320,450 : x
  2. Step 2: Convert to fraction form
    549,905.18/758,918.04 = 320,450/x
  3. Step 3: Cross multiply
    549,905.18x = 758,918.04 × 320,450
  4. Step 4: Simplify right side
    549,905.18x = 243,195,285,918
  5. Step 5: Solve for x
    x = 243,195,285,918/549,905.18
  6. Step 6: Final answer
    x = 442,249.49

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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.