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Finding the Fourth Proportional to 305,643, 421,826.22 and 171,507

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Solution

The fourth proportional to 305,643, 421,826.22 and 171,507 is: 236,701.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,643 : 421,826.22 = 171,507 : x
  2. Step 2: Convert to fraction form
    305,643/421,826.22 = 171,507/x
  3. Step 3: Cross multiply
    305,643x = 421,826.22 × 171,507
  4. Step 4: Simplify right side
    305,643x = 72,346,149,513.54
  5. Step 5: Solve for x
    x = 72,346,149,513.54/305,643
  6. Step 6: Final answer
    x = 236,701.48

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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.