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Finding the Fourth Proportional to 873,144, 1,309,716.30 and 392,810.70

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Solution

The fourth proportional to 873,144, 1,309,716.30 and 392,810.70 is: 589,216.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,144 : 1,309,716.30 = 392,810.70 : x
  2. Step 2: Convert to fraction form
    873,144/1,309,716.30 = 392,810.70/x
  3. Step 3: Cross multiply
    873,144x = 1,309,716.30 × 392,810.70
  4. Step 4: Simplify right side
    873,144x = 514,470,576,604.41
  5. Step 5: Solve for x
    x = 514,470,576,604.41/873,144
  6. Step 6: Final answer
    x = 589,216.18

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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.