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Finding the Fourth Proportional to 399,507.42, 551,295.81 and 218,182.62

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Solution

The fourth proportional to 399,507.42, 551,295.81 and 218,182.62 is: 301,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,507.42 : 551,295.81 = 218,182.62 : x
  2. Step 2: Convert to fraction form
    399,507.42/551,295.81 = 218,182.62/x
  3. Step 3: Cross multiply
    399,507.42x = 551,295.81 × 218,182.62
  4. Step 4: Simplify right side
    399,507.42x = 120,283,164,220.82
  5. Step 5: Solve for x
    x = 120,283,164,220.82/399,507.42
  6. Step 6: Final answer
    x = 301,078.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.