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Finding the Fourth Proportional to 399,495.65, 599,162.67 and 146,689.38

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Solution

The fourth proportional to 399,495.65, 599,162.67 and 146,689.38 is: 220,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,495.65 : 599,162.67 = 146,689.38 : x
  2. Step 2: Convert to fraction form
    399,495.65/599,162.67 = 146,689.38/x
  3. Step 3: Cross multiply
    399,495.65x = 599,162.67 × 146,689.38
  4. Step 4: Simplify right side
    399,495.65x = 87,890,800,581.44
  5. Step 5: Solve for x
    x = 87,890,800,581.44/399,495.65
  6. Step 6: Final answer
    x = 220,004.40

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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.