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Finding the Fourth Proportional to 340,131.40, 510,197.10 and 292,892.20

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Solution

The fourth proportional to 340,131.40, 510,197.10 and 292,892.20 is: 439,338.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,131.40 : 510,197.10 = 292,892.20 : x
  2. Step 2: Convert to fraction form
    340,131.40/510,197.10 = 292,892.20/x
  3. Step 3: Cross multiply
    340,131.40x = 510,197.10 × 292,892.20
  4. Step 4: Simplify right side
    340,131.40x = 149,432,751,052.62
  5. Step 5: Solve for x
    x = 149,432,751,052.62/340,131.40
  6. Step 6: Final answer
    x = 439,338.30

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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.