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Finding the Fourth Proportional to 1,312,801, 1,969,391.58 and 413,937.64

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Solution

The fourth proportional to 1,312,801, 1,969,391.58 and 413,937.64 is: 620,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,801 : 1,969,391.58 = 413,937.64 : x
  2. Step 2: Convert to fraction form
    1,312,801/1,969,391.58 = 413,937.64/x
  3. Step 3: Cross multiply
    1,312,801x = 1,969,391.58 × 413,937.64
  4. Step 4: Simplify right side
    1,312,801x = 815,205,302,861.07
  5. Step 5: Solve for x
    x = 815,205,302,861.07/1,312,801
  6. Step 6: Final answer
    x = 620,966.39

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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.