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Finding the Fourth Proportional to 320,516.94, 442,260.54 and 177,249

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Solution

The fourth proportional to 320,516.94, 442,260.54 and 177,249 is: 244,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,516.94 : 442,260.54 = 177,249 : x
  2. Step 2: Convert to fraction form
    320,516.94/442,260.54 = 177,249/x
  3. Step 3: Cross multiply
    320,516.94x = 442,260.54 × 177,249
  4. Step 4: Simplify right side
    320,516.94x = 78,390,238,454.46
  5. Step 5: Solve for x
    x = 78,390,238,454.46/320,516.94
  6. Step 6: Final answer
    x = 244,574.40

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1.5x scale

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.