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Finding the Fourth Proportional to 399,499.76, 550,596.76 and 302,471.15

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Solution

The fourth proportional to 399,499.76, 550,596.76 and 302,471.15 is: 416,870.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,499.76 : 550,596.76 = 302,471.15 : x
  2. Step 2: Convert to fraction form
    399,499.76/550,596.76 = 302,471.15/x
  3. Step 3: Cross multiply
    399,499.76x = 550,596.76 × 302,471.15
  4. Step 4: Simplify right side
    399,499.76x = 166,539,631,674.31
  5. Step 5: Solve for x
    x = 166,539,631,674.31/399,499.76
  6. Step 6: Final answer
    x = 416,870.41

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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.