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Finding the Fourth Proportional to 290,603.80, 400,982.70 and 163,284.76

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Solution

The fourth proportional to 290,603.80, 400,982.70 and 163,284.76 is: 225,304.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,603.80 : 400,982.70 = 163,284.76 : x
  2. Step 2: Convert to fraction form
    290,603.80/400,982.70 = 163,284.76/x
  3. Step 3: Cross multiply
    290,603.80x = 400,982.70 × 163,284.76
  4. Step 4: Simplify right side
    290,603.80x = 65,474,363,933.65
  5. Step 5: Solve for x
    x = 65,474,363,933.65/290,603.80
  6. Step 6: Final answer
    x = 225,304.57

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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.