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Finding the Fourth Proportional to 403,814.80, 605,722.20 and 309,336.40

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Solution

The fourth proportional to 403,814.80, 605,722.20 and 309,336.40 is: 464,004.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,814.80 : 605,722.20 = 309,336.40 : x
  2. Step 2: Convert to fraction form
    403,814.80/605,722.20 = 309,336.40/x
  3. Step 3: Cross multiply
    403,814.80x = 605,722.20 × 309,336.40
  4. Step 4: Simplify right side
    403,814.80x = 187,371,924,748.08
  5. Step 5: Solve for x
    x = 187,371,924,748.08/403,814.80
  6. Step 6: Final answer
    x = 464,004.60

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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.