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Finding the Fourth Proportional to 340,309.70, 510,464.68 and 140,410.47

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Solution

The fourth proportional to 340,309.70, 510,464.68 and 140,410.47 is: 210,615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,309.70 : 510,464.68 = 140,410.47 : x
  2. Step 2: Convert to fraction form
    340,309.70/510,464.68 = 140,410.47/x
  3. Step 3: Cross multiply
    340,309.70x = 510,464.68 × 140,410.47
  4. Step 4: Simplify right side
    340,309.70x = 71,674,585,286.17
  5. Step 5: Solve for x
    x = 71,674,585,286.17/340,309.70
  6. Step 6: Final answer
    x = 210,615.76

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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.