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Finding the Fourth Proportional to 280,592, 387,228.48 and 161,360

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Solution

The fourth proportional to 280,592, 387,228.48 and 161,360 is: 222,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,592 : 387,228.48 = 161,360 : x
  2. Step 2: Convert to fraction form
    280,592/387,228.48 = 161,360/x
  3. Step 3: Cross multiply
    280,592x = 387,228.48 × 161,360
  4. Step 4: Simplify right side
    280,592x = 62,483,187,532.80
  5. Step 5: Solve for x
    x = 62,483,187,532.80/280,592
  6. Step 6: Final answer
    x = 222,683.42

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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.