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Finding the Fourth Proportional to 578,491.76, 867,405.42 and 308,287.24

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Solution

The fourth proportional to 578,491.76, 867,405.42 and 308,287.24 is: 462,253.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,491.76 : 867,405.42 = 308,287.24 : x
  2. Step 2: Convert to fraction form
    578,491.76/867,405.42 = 308,287.24/x
  3. Step 3: Cross multiply
    578,491.76x = 867,405.42 × 308,287.24
  4. Step 4: Simplify right side
    578,491.76x = 267,410,020,724.33
  5. Step 5: Solve for x
    x = 267,410,020,724.33/578,491.76
  6. Step 6: Final answer
    x = 462,253.81

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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.