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Finding the Fourth Proportional to 399,578.65, 599,368.37 and 111,378.78

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Solution

The fourth proportional to 399,578.65, 599,368.37 and 111,378.78 is: 167,068.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,578.65 : 599,368.37 = 111,378.78 : x
  2. Step 2: Convert to fraction form
    399,578.65/599,368.37 = 111,378.78/x
  3. Step 3: Cross multiply
    399,578.65x = 599,368.37 × 111,378.78
  4. Step 4: Simplify right side
    399,578.65x = 66,756,917,264.29
  5. Step 5: Solve for x
    x = 66,756,917,264.29/399,578.65
  6. Step 6: Final answer
    x = 167,068.28

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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.