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Finding the Fourth Proportional to 587,180, 810,308.40 and 318,908

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Solution

The fourth proportional to 587,180, 810,308.40 and 318,908 is: 440,093.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,180 : 810,308.40 = 318,908 : x
  2. Step 2: Convert to fraction form
    587,180/810,308.40 = 318,908/x
  3. Step 3: Cross multiply
    587,180x = 810,308.40 × 318,908
  4. Step 4: Simplify right side
    587,180x = 258,413,831,227.20
  5. Step 5: Solve for x
    x = 258,413,831,227.20/587,180
  6. Step 6: Final answer
    x = 440,093.04

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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.