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Finding the Fourth Proportional to 455,955.97, 682,906.02 and 219,475.66

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Solution

The fourth proportional to 455,955.97, 682,906.02 and 219,475.66 is: 328,718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,955.97 : 682,906.02 = 219,475.66 : x
  2. Step 2: Convert to fraction form
    455,955.97/682,906.02 = 219,475.66/x
  3. Step 3: Cross multiply
    455,955.97x = 682,906.02 × 219,475.66
  4. Step 4: Simplify right side
    455,955.97x = 149,881,249,457.47
  5. Step 5: Solve for x
    x = 149,881,249,457.47/455,955.97
  6. Step 6: Final answer
    x = 328,718.69

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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.