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Finding the Fourth Proportional to 321,432.76, 482,075.34 and 191,638.29

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Solution

The fourth proportional to 321,432.76, 482,075.34 and 191,638.29 is: 287,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,432.76 : 482,075.34 = 191,638.29 : x
  2. Step 2: Convert to fraction form
    321,432.76/482,075.34 = 191,638.29/x
  3. Step 3: Cross multiply
    321,432.76x = 482,075.34 × 191,638.29
  4. Step 4: Simplify right side
    321,432.76x = 92,384,091,398.39
  5. Step 5: Solve for x
    x = 92,384,091,398.39/321,432.76
  6. Step 6: Final answer
    x = 287,413.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.