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Finding the Fourth Proportional to 282,215.79, 389,428.44 and 159,721.92

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Solution

The fourth proportional to 282,215.79, 389,428.44 and 159,721.92 is: 220,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,215.79 : 389,428.44 = 159,721.92 : x
  2. Step 2: Convert to fraction form
    282,215.79/389,428.44 = 159,721.92/x
  3. Step 3: Cross multiply
    282,215.79x = 389,428.44 × 159,721.92
  4. Step 4: Simplify right side
    282,215.79x = 62,200,258,139.40
  5. Step 5: Solve for x
    x = 62,200,258,139.40/282,215.79
  6. Step 6: Final answer
    x = 220,399.64

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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.