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Finding the Fourth Proportional to 978,216.30, 1,467,324.45 and 642,293.10

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Solution

The fourth proportional to 978,216.30, 1,467,324.45 and 642,293.10 is: 963,439.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,216.30 : 1,467,324.45 = 642,293.10 : x
  2. Step 2: Convert to fraction form
    978,216.30/1,467,324.45 = 642,293.10/x
  3. Step 3: Cross multiply
    978,216.30x = 1,467,324.45 × 642,293.10
  4. Step 4: Simplify right side
    978,216.30x = 942,452,369,696.30
  5. Step 5: Solve for x
    x = 942,452,369,696.30/978,216.30
  6. Step 6: Final answer
    x = 963,439.65

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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.