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Finding the Fourth Proportional to 978,010.46, 1,466,891.10 and 378,561.51

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Solution

The fourth proportional to 978,010.46, 1,466,891.10 and 378,561.51 is: 567,794.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,010.46 : 1,466,891.10 = 378,561.51 : x
  2. Step 2: Convert to fraction form
    978,010.46/1,466,891.10 = 378,561.51/x
  3. Step 3: Cross multiply
    978,010.46x = 1,466,891.10 × 378,561.51
  4. Step 4: Simplify right side
    978,010.46x = 555,308,509,821.56
  5. Step 5: Solve for x
    x = 555,308,509,821.56/978,010.46
  6. Step 6: Final answer
    x = 567,794.04

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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.