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Finding the Fourth Proportional to 282,224.80, 389,401.42 and 159,720

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Solution

The fourth proportional to 282,224.80, 389,401.42 and 159,720 is: 220,374.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,224.80 : 389,401.42 = 159,720 : x
  2. Step 2: Convert to fraction form
    282,224.80/389,401.42 = 159,720/x
  3. Step 3: Cross multiply
    282,224.80x = 389,401.42 × 159,720
  4. Step 4: Simplify right side
    282,224.80x = 62,195,194,802.40
  5. Step 5: Solve for x
    x = 62,195,194,802.40/282,224.80
  6. Step 6: Final answer
    x = 220,374.66

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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.