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Finding the Fourth Proportional to 362,640.72, 500,414.90 and 209,688.82

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Solution

The fourth proportional to 362,640.72, 500,414.90 and 209,688.82 is: 289,353.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,640.72 : 500,414.90 = 209,688.82 : x
  2. Step 2: Convert to fraction form
    362,640.72/500,414.90 = 209,688.82/x
  3. Step 3: Cross multiply
    362,640.72x = 500,414.90 × 209,688.82
  4. Step 4: Simplify right side
    362,640.72x = 104,931,407,591.94
  5. Step 5: Solve for x
    x = 104,931,407,591.94/362,640.72
  6. Step 6: Final answer
    x = 289,353.62

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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.