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Finding the Fourth Proportional to 411,418.20, 617,127.30 and 201,466.20

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Solution

The fourth proportional to 411,418.20, 617,127.30 and 201,466.20 is: 302,199.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,418.20 : 617,127.30 = 201,466.20 : x
  2. Step 2: Convert to fraction form
    411,418.20/617,127.30 = 201,466.20/x
  3. Step 3: Cross multiply
    411,418.20x = 617,127.30 × 201,466.20
  4. Step 4: Simplify right side
    411,418.20x = 124,330,292,047.26
  5. Step 5: Solve for x
    x = 124,330,292,047.26/411,418.20
  6. Step 6: Final answer
    x = 302,199.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.