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Finding the Fourth Proportional to 340,543.64, 510,882.42 and 140,756.60

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Solution

The fourth proportional to 340,543.64, 510,882.42 and 140,756.60 is: 211,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,543.64 : 510,882.42 = 140,756.60 : x
  2. Step 2: Convert to fraction form
    340,543.64/510,882.42 = 140,756.60/x
  3. Step 3: Cross multiply
    340,543.64x = 510,882.42 × 140,756.60
  4. Step 4: Simplify right side
    340,543.64x = 71,910,072,438.97
  5. Step 5: Solve for x
    x = 71,910,072,438.97/340,543.64
  6. Step 6: Final answer
    x = 211,162.58

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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.