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Finding the Fourth Proportional to 549,096, 757,768.31 and 307,377.12

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Solution

The fourth proportional to 549,096, 757,768.31 and 307,377.12 is: 424,189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,096 : 757,768.31 = 307,377.12 : x
  2. Step 2: Convert to fraction form
    549,096/757,768.31 = 307,377.12/x
  3. Step 3: Cross multiply
    549,096x = 757,768.31 × 307,377.12
  4. Step 4: Simplify right side
    549,096x = 232,920,640,755.07
  5. Step 5: Solve for x
    x = 232,920,640,755.07/549,096
  6. Step 6: Final answer
    x = 424,189.29

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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.