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Finding the Fourth Proportional to 341,890.20, 512,835.30 and 307,675.80

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Solution

The fourth proportional to 341,890.20, 512,835.30 and 307,675.80 is: 461,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,890.20 : 512,835.30 = 307,675.80 : x
  2. Step 2: Convert to fraction form
    341,890.20/512,835.30 = 307,675.80/x
  3. Step 3: Cross multiply
    341,890.20x = 512,835.30 × 307,675.80
  4. Step 4: Simplify right side
    341,890.20x = 157,787,011,195.74
  5. Step 5: Solve for x
    x = 157,787,011,195.74/341,890.20
  6. Step 6: Final answer
    x = 461,513.70

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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.