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Finding the Fourth Proportional to 371,047.68, 512,057.21 and 209,899.49

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Solution

The fourth proportional to 371,047.68, 512,057.21 and 209,899.49 is: 289,667.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,047.68 : 512,057.21 = 209,899.49 : x
  2. Step 2: Convert to fraction form
    371,047.68/512,057.21 = 209,899.49/x
  3. Step 3: Cross multiply
    371,047.68x = 512,057.21 × 209,899.49
  4. Step 4: Simplify right side
    371,047.68x = 107,480,543,620.04
  5. Step 5: Solve for x
    x = 107,480,543,620.04/371,047.68
  6. Step 6: Final answer
    x = 289,667.74

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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.