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Finding the Fourth Proportional to 407,881.65, 611,193.70 and 218,367.16

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Solution

The fourth proportional to 407,881.65, 611,193.70 and 218,367.16 is: 327,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,881.65 : 611,193.70 = 218,367.16 : x
  2. Step 2: Convert to fraction form
    407,881.65/611,193.70 = 218,367.16/x
  3. Step 3: Cross multiply
    407,881.65x = 611,193.70 × 218,367.16
  4. Step 4: Simplify right side
    407,881.65x = 133,464,632,478.89
  5. Step 5: Solve for x
    x = 133,464,632,478.89/407,881.65
  6. Step 6: Final answer
    x = 327,214.11

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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.