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Finding the Fourth Proportional to 512,886.48, 707,799.62 and 280,308.31

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Solution

The fourth proportional to 512,886.48, 707,799.62 and 280,308.31 is: 386,834.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,886.48 : 707,799.62 = 280,308.31 : x
  2. Step 2: Convert to fraction form
    512,886.48/707,799.62 = 280,308.31/x
  3. Step 3: Cross multiply
    512,886.48x = 707,799.62 × 280,308.31
  4. Step 4: Simplify right side
    512,886.48x = 198,402,118,404.16
  5. Step 5: Solve for x
    x = 198,402,118,404.16/512,886.48
  6. Step 6: Final answer
    x = 386,834.37

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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.