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Finding the Fourth Proportional to 282,033.80, 423,426.16 and 163,790

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Solution

The fourth proportional to 282,033.80, 423,426.16 and 163,790 is: 245,903.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,033.80 : 423,426.16 = 163,790 : x
  2. Step 2: Convert to fraction form
    282,033.80/423,426.16 = 163,790/x
  3. Step 3: Cross multiply
    282,033.80x = 423,426.16 × 163,790
  4. Step 4: Simplify right side
    282,033.80x = 69,352,970,746.40
  5. Step 5: Solve for x
    x = 69,352,970,746.40/282,033.80
  6. Step 6: Final answer
    x = 245,903.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.