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Finding the Fourth Proportional to 353,308.23, 487,404.54 and 209,986.83

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Solution

The fourth proportional to 353,308.23, 487,404.54 and 209,986.83 is: 289,686.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,308.23 : 487,404.54 = 209,986.83 : x
  2. Step 2: Convert to fraction form
    353,308.23/487,404.54 = 209,986.83/x
  3. Step 3: Cross multiply
    353,308.23x = 487,404.54 × 209,986.83
  4. Step 4: Simplify right side
    353,308.23x = 102,348,534,282.21
  5. Step 5: Solve for x
    x = 102,348,534,282.21/353,308.23
  6. Step 6: Final answer
    x = 289,686.24

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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.