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Finding the Fourth Proportional to 371,308.50, 512,406.36 and 201,542.63

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Solution

The fourth proportional to 371,308.50, 512,406.36 and 201,542.63 is: 278,129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,308.50 : 512,406.36 = 201,542.63 : x
  2. Step 2: Convert to fraction form
    371,308.50/512,406.36 = 201,542.63/x
  3. Step 3: Cross multiply
    371,308.50x = 512,406.36 × 201,542.63
  4. Step 4: Simplify right side
    371,308.50x = 103,271,722,861.10
  5. Step 5: Solve for x
    x = 103,271,722,861.10/371,308.50
  6. Step 6: Final answer
    x = 278,129.16

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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.