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Finding the Fourth Proportional to 512,406.52, 707,071.26 and 351,399.64

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Solution

The fourth proportional to 512,406.52, 707,071.26 and 351,399.64 is: 484,897.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,406.52 : 707,071.26 = 351,399.64 : x
  2. Step 2: Convert to fraction form
    512,406.52/707,071.26 = 351,399.64/x
  3. Step 3: Cross multiply
    512,406.52x = 707,071.26 × 351,399.64
  4. Step 4: Simplify right side
    512,406.52x = 248,464,586,218.35
  5. Step 5: Solve for x
    x = 248,464,586,218.35/512,406.52
  6. Step 6: Final answer
    x = 484,897.39

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1.5x scale

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.