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Finding the Fourth Proportional to 407,848.33, 611,143.73 and 218,333.85

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Solution

The fourth proportional to 407,848.33, 611,143.73 and 218,333.85 is: 327,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,848.33 : 611,143.73 = 218,333.85 : x
  2. Step 2: Convert to fraction form
    407,848.33/611,143.73 = 218,333.85/x
  3. Step 3: Cross multiply
    407,848.33x = 611,143.73 × 218,333.85
  4. Step 4: Simplify right side
    407,848.33x = 133,433,363,474.26
  5. Step 5: Solve for x
    x = 133,433,363,474.26/407,848.33
  6. Step 6: Final answer
    x = 327,164.18

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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.