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Finding the Fourth Proportional to 1,312,800, 1,969,390.08 and 413,936.64

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Solution

The fourth proportional to 1,312,800, 1,969,390.08 and 413,936.64 is: 620,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,800 : 1,969,390.08 = 413,936.64 : x
  2. Step 2: Convert to fraction form
    1,312,800/1,969,390.08 = 413,936.64/x
  3. Step 3: Cross multiply
    1,312,800x = 1,969,390.08 × 413,936.64
  4. Step 4: Simplify right side
    1,312,800x = 815,202,712,564.53
  5. Step 5: Solve for x
    x = 815,202,712,564.53/1,312,800
  6. Step 6: Final answer
    x = 620,964.89

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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.