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Finding the Fourth Proportional to 282,506.56, 389,763.88 and 159,982.16

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Solution

The fourth proportional to 282,506.56, 389,763.88 and 159,982.16 is: 220,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,506.56 : 389,763.88 = 159,982.16 : x
  2. Step 2: Convert to fraction form
    282,506.56/389,763.88 = 159,982.16/x
  3. Step 3: Cross multiply
    282,506.56x = 389,763.88 × 159,982.16
  4. Step 4: Simplify right side
    282,506.56x = 62,355,267,412.38
  5. Step 5: Solve for x
    x = 62,355,267,412.38/282,506.56
  6. Step 6: Final answer
    x = 220,721.48

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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.