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Finding the Fourth Proportional to 399,814.62, 599,633.51 and 115,443.47

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Solution

The fourth proportional to 399,814.62, 599,633.51 and 115,443.47 is: 173,139.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,814.62 : 599,633.51 = 115,443.47 : x
  2. Step 2: Convert to fraction form
    399,814.62/599,633.51 = 115,443.47/x
  3. Step 3: Cross multiply
    399,814.62x = 599,633.51 × 115,443.47
  4. Step 4: Simplify right side
    399,814.62x = 69,223,769,547.29
  5. Step 5: Solve for x
    x = 69,223,769,547.29/399,814.62
  6. Step 6: Final answer
    x = 173,139.67

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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.