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Finding the Fourth Proportional to 512,739.48, 707,576.46 and 298,005.24

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Solution

The fourth proportional to 512,739.48, 707,576.46 and 298,005.24 is: 411,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,739.48 : 707,576.46 = 298,005.24 : x
  2. Step 2: Convert to fraction form
    512,739.48/707,576.46 = 298,005.24/x
  3. Step 3: Cross multiply
    512,739.48x = 707,576.46 × 298,005.24
  4. Step 4: Simplify right side
    512,739.48x = 210,861,492,780.65
  5. Step 5: Solve for x
    x = 210,861,492,780.65/512,739.48
  6. Step 6: Final answer
    x = 411,244.89

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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.