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Finding the Fourth Proportional to 320,358.84, 442,073.52 and 177,099.54

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Solution

The fourth proportional to 320,358.84, 442,073.52 and 177,099.54 is: 244,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,358.84 : 442,073.52 = 177,099.54 : x
  2. Step 2: Convert to fraction form
    320,358.84/442,073.52 = 177,099.54/x
  3. Step 3: Cross multiply
    320,358.84x = 442,073.52 × 177,099.54
  4. Step 4: Simplify right side
    320,358.84x = 78,291,017,038.18
  5. Step 5: Solve for x
    x = 78,291,017,038.18/320,358.84
  6. Step 6: Final answer
    x = 244,385.38

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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.