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Finding the Fourth Proportional to 320,513.94, 442,256.40 and 177,246

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Solution

The fourth proportional to 320,513.94, 442,256.40 and 177,246 is: 244,570.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,513.94 : 442,256.40 = 177,246 : x
  2. Step 2: Convert to fraction form
    320,513.94/442,256.40 = 177,246/x
  3. Step 3: Cross multiply
    320,513.94x = 442,256.40 × 177,246
  4. Step 4: Simplify right side
    320,513.94x = 78,388,177,874.40
  5. Step 5: Solve for x
    x = 78,388,177,874.40/320,513.94
  6. Step 6: Final answer
    x = 244,570.26

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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.