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Finding the Fourth Proportional to 403,613.40, 605,420.10 and 340,627.80

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Solution

The fourth proportional to 403,613.40, 605,420.10 and 340,627.80 is: 510,941.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,613.40 : 605,420.10 = 340,627.80 : x
  2. Step 2: Convert to fraction form
    403,613.40/605,420.10 = 340,627.80/x
  3. Step 3: Cross multiply
    403,613.40x = 605,420.10 × 340,627.80
  4. Step 4: Simplify right side
    403,613.40x = 206,222,916,738.78
  5. Step 5: Solve for x
    x = 206,222,916,738.78/403,613.40
  6. Step 6: Final answer
    x = 510,941.70

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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.