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Finding the Fourth Proportional to 345,382.52, 476,628.66 and 200,216.30

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Solution

The fourth proportional to 345,382.52, 476,628.66 and 200,216.30 is: 276,298.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,382.52 : 476,628.66 = 200,216.30 : x
  2. Step 2: Convert to fraction form
    345,382.52/476,628.66 = 200,216.30/x
  3. Step 3: Cross multiply
    345,382.52x = 476,628.66 × 200,216.30
  4. Step 4: Simplify right side
    345,382.52x = 95,428,826,779.16
  5. Step 5: Solve for x
    x = 95,428,826,779.16/345,382.52
  6. Step 6: Final answer
    x = 276,298.95

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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.