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Finding the Fourth Proportional to 512,675.70, 707,470.94 and 294,867.88

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Solution

The fourth proportional to 512,675.70, 707,470.94 and 294,867.88 is: 406,905.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,675.70 : 707,470.94 = 294,867.88 : x
  2. Step 2: Convert to fraction form
    512,675.70/707,470.94 = 294,867.88/x
  3. Step 3: Cross multiply
    512,675.70x = 707,470.94 × 294,867.88
  4. Step 4: Simplify right side
    512,675.70x = 208,610,455,207.90
  5. Step 5: Solve for x
    x = 208,610,455,207.90/512,675.70
  6. Step 6: Final answer
    x = 406,905.29

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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.