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Finding the Fourth Proportional to 282,282.99, 422,870.88 and 163,705.20

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Solution

The fourth proportional to 282,282.99, 422,870.88 and 163,705.20 is: 245,236.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,282.99 : 422,870.88 = 163,705.20 : x
  2. Step 2: Convert to fraction form
    282,282.99/422,870.88 = 163,705.20/x
  3. Step 3: Cross multiply
    282,282.99x = 422,870.88 × 163,705.20
  4. Step 4: Simplify right side
    282,282.99x = 69,226,161,984.58
  5. Step 5: Solve for x
    x = 69,226,161,984.58/282,282.99
  6. Step 6: Final answer
    x = 245,236.75

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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.