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Finding the Fourth Proportional to 589,567.30, 813,520.82 and 331,407.74

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Solution

The fourth proportional to 589,567.30, 813,520.82 and 331,407.74 is: 457,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,567.30 : 813,520.82 = 331,407.74 : x
  2. Step 2: Convert to fraction form
    589,567.30/813,520.82 = 331,407.74/x
  3. Step 3: Cross multiply
    589,567.30x = 813,520.82 × 331,407.74
  4. Step 4: Simplify right side
    589,567.30x = 269,607,099,261.47
  5. Step 5: Solve for x
    x = 269,607,099,261.47/589,567.30
  6. Step 6: Final answer
    x = 457,296.56

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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.