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Finding the Fourth Proportional to 353,418, 487,817.12 and 208,308.12

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Solution

The fourth proportional to 353,418, 487,817.12 and 208,308.12 is: 287,524.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,418 : 487,817.12 = 208,308.12 : x
  2. Step 2: Convert to fraction form
    353,418/487,817.12 = 208,308.12/x
  3. Step 3: Cross multiply
    353,418x = 487,817.12 × 208,308.12
  4. Step 4: Simplify right side
    353,418x = 101,616,266,129.47
  5. Step 5: Solve for x
    x = 101,616,266,129.47/353,418
  6. Step 6: Final answer
    x = 287,524.31

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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.