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Finding the Fourth Proportional to 512,511.42, 707,402.55 and 294,743.88

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Solution

The fourth proportional to 512,511.42, 707,402.55 and 294,743.88 is: 406,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,511.42 : 707,402.55 = 294,743.88 : x
  2. Step 2: Convert to fraction form
    512,511.42/707,402.55 = 294,743.88/x
  3. Step 3: Cross multiply
    512,511.42x = 707,402.55 × 294,743.88
  4. Step 4: Simplify right side
    512,511.42x = 208,502,573,414.18
  5. Step 5: Solve for x
    x = 208,502,573,414.18/512,511.42
  6. Step 6: Final answer
    x = 406,825.22

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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.