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Finding the Fourth Proportional to 315,092.80, 434,869.86 and 200,382.28

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Solution

The fourth proportional to 315,092.80, 434,869.86 and 200,382.28 is: 276,554.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,092.80 : 434,869.86 = 200,382.28 : x
  2. Step 2: Convert to fraction form
    315,092.80/434,869.86 = 200,382.28/x
  3. Step 3: Cross multiply
    315,092.80x = 434,869.86 × 200,382.28
  4. Step 4: Simplify right side
    315,092.80x = 87,140,214,050.08
  5. Step 5: Solve for x
    x = 87,140,214,050.08/315,092.80
  6. Step 6: Final answer
    x = 276,554.13

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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.