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Finding the Fourth Proportional to 1,345,885.13, 1,857,943.46 and 829,731.26

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Solution

The fourth proportional to 1,345,885.13, 1,857,943.46 and 829,731.26 is: 1,145,412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345,885.13 : 1,857,943.46 = 829,731.26 : x
  2. Step 2: Convert to fraction form
    1,345,885.13/1,857,943.46 = 829,731.26/x
  3. Step 3: Cross multiply
    1,345,885.13x = 1,857,943.46 × 829,731.26
  4. Step 4: Simplify right side
    1,345,885.13x = 1,541,593,763,429.70
  5. Step 5: Solve for x
    x = 1,541,593,763,429.70/1,345,885.13
  6. Step 6: Final answer
    x = 1,145,412.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.