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Finding the Fourth Proportional to 512,294.52, 707,421.45 and 319,034.09

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Solution

The fourth proportional to 512,294.52, 707,421.45 and 319,034.09 is: 440,550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,294.52 : 707,421.45 = 319,034.09 : x
  2. Step 2: Convert to fraction form
    512,294.52/707,421.45 = 319,034.09/x
  3. Step 3: Cross multiply
    512,294.52x = 707,421.45 × 319,034.09
  4. Step 4: Simplify right side
    512,294.52x = 225,691,559,717.60
  5. Step 5: Solve for x
    x = 225,691,559,717.60/512,294.52
  6. Step 6: Final answer
    x = 440,550.40

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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.