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Finding the Fourth Proportional to 399,507.26, 550,607.09 and 302,478.66

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Solution

The fourth proportional to 399,507.26, 550,607.09 and 302,478.66 is: 416,880.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,507.26 : 550,607.09 = 302,478.66 : x
  2. Step 2: Convert to fraction form
    399,507.26/550,607.09 = 302,478.66/x
  3. Step 3: Cross multiply
    399,507.26x = 550,607.09 × 302,478.66
  4. Step 4: Simplify right side
    399,507.26x = 166,546,894,769.70
  5. Step 5: Solve for x
    x = 166,546,894,769.70/399,507.26
  6. Step 6: Final answer
    x = 416,880.77

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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.