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Finding the Fourth Proportional to 489,133.90, 733,705.59 and 185,446.39

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Solution

The fourth proportional to 489,133.90, 733,705.59 and 185,446.39 is: 278,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,133.90 : 733,705.59 = 185,446.39 : x
  2. Step 2: Convert to fraction form
    489,133.90/733,705.59 = 185,446.39/x
  3. Step 3: Cross multiply
    489,133.90x = 733,705.59 × 185,446.39
  4. Step 4: Simplify right side
    489,133.90x = 136,063,052,988.32
  5. Step 5: Solve for x
    x = 136,063,052,988.32/489,133.90
  6. Step 6: Final answer
    x = 278,171.38

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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.