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Finding the Fourth Proportional to 545,109.76, 817,799.64 and 261,016.48

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Solution

The fourth proportional to 545,109.76, 817,799.64 and 261,016.48 is: 391,589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,109.76 : 817,799.64 = 261,016.48 : x
  2. Step 2: Convert to fraction form
    545,109.76/817,799.64 = 261,016.48/x
  3. Step 3: Cross multiply
    545,109.76x = 817,799.64 × 261,016.48
  4. Step 4: Simplify right side
    545,109.76x = 213,459,183,378.07
  5. Step 5: Solve for x
    x = 213,459,183,378.07/545,109.76
  6. Step 6: Final answer
    x = 391,589.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.