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Finding the Fourth Proportional to 315,206.94, 434,983.52 and 179,240.90

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Solution

The fourth proportional to 315,206.94, 434,983.52 and 179,240.90 is: 247,351.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,206.94 : 434,983.52 = 179,240.90 : x
  2. Step 2: Convert to fraction form
    315,206.94/434,983.52 = 179,240.90/x
  3. Step 3: Cross multiply
    315,206.94x = 434,983.52 × 179,240.90
  4. Step 4: Simplify right side
    315,206.94x = 77,966,834,538.85
  5. Step 5: Solve for x
    x = 77,966,834,538.85/315,206.94
  6. Step 6: Final answer
    x = 247,351.26

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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.