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Finding the Fourth Proportional to 323,017.26, 485,314.29 and 305,113.02

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Solution

The fourth proportional to 323,017.26, 485,314.29 and 305,113.02 is: 458,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,017.26 : 485,314.29 = 305,113.02 : x
  2. Step 2: Convert to fraction form
    323,017.26/485,314.29 = 305,113.02/x
  3. Step 3: Cross multiply
    323,017.26x = 485,314.29 × 305,113.02
  4. Step 4: Simplify right side
    323,017.26x = 148,075,708,671.06
  5. Step 5: Solve for x
    x = 148,075,708,671.06/323,017.26
  6. Step 6: Final answer
    x = 458,414.23

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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.