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Finding the Fourth Proportional to 589,270.62, 813,193.59 and 320,998.62

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Solution

The fourth proportional to 589,270.62, 813,193.59 and 320,998.62 is: 442,978.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,270.62 : 813,193.59 = 320,998.62 : x
  2. Step 2: Convert to fraction form
    589,270.62/813,193.59 = 320,998.62/x
  3. Step 3: Cross multiply
    589,270.62x = 813,193.59 × 320,998.62
  4. Step 4: Simplify right side
    589,270.62x = 261,034,020,182.85
  5. Step 5: Solve for x
    x = 261,034,020,182.85/589,270.62
  6. Step 6: Final answer
    x = 442,978.17

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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.