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Finding the Fourth Proportional to 512,889.08, 707,884.72 and 338,152.47

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Solution

The fourth proportional to 512,889.08, 707,884.72 and 338,152.47 is: 466,714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,889.08 : 707,884.72 = 338,152.47 : x
  2. Step 2: Convert to fraction form
    512,889.08/707,884.72 = 338,152.47/x
  3. Step 3: Cross multiply
    512,889.08x = 707,884.72 × 338,152.47
  4. Step 4: Simplify right side
    512,889.08x = 239,372,968,927.27
  5. Step 5: Solve for x
    x = 239,372,968,927.27/512,889.08
  6. Step 6: Final answer
    x = 466,714.89

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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.