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Finding the Fourth Proportional to 512,511.05, 707,402.03 and 294,743.51

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Solution

The fourth proportional to 512,511.05, 707,402.03 and 294,743.51 is: 406,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,511.05 : 707,402.03 = 294,743.51 : x
  2. Step 2: Convert to fraction form
    512,511.05/707,402.03 = 294,743.51/x
  3. Step 3: Cross multiply
    512,511.05x = 707,402.03 × 294,743.51
  4. Step 4: Simplify right side
    512,511.05x = 208,502,159,808.69
  5. Step 5: Solve for x
    x = 208,502,159,808.69/512,511.05
  6. Step 6: Final answer
    x = 406,824.71

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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.