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Finding the Fourth Proportional to 569,871.56, 782,304.64 and 489,158.96

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Solution

The fourth proportional to 569,871.56, 782,304.64 and 489,158.96 is: 671,504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,871.56 : 782,304.64 = 489,158.96 : x
  2. Step 2: Convert to fraction form
    569,871.56/782,304.64 = 489,158.96/x
  3. Step 3: Cross multiply
    569,871.56x = 782,304.64 × 489,158.96
  4. Step 4: Simplify right side
    569,871.56x = 382,671,324,105.57
  5. Step 5: Solve for x
    x = 382,671,324,105.57/569,871.56
  6. Step 6: Final answer
    x = 671,504.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.