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Finding the Fourth Proportional to 493,513, 681,048.30 and 267,158.68

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Solution

The fourth proportional to 493,513, 681,048.30 and 267,158.68 is: 368,679.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,513 : 681,048.30 = 267,158.68 : x
  2. Step 2: Convert to fraction form
    493,513/681,048.30 = 267,158.68/x
  3. Step 3: Cross multiply
    493,513x = 681,048.30 × 267,158.68
  4. Step 4: Simplify right side
    493,513x = 181,947,964,844.24
  5. Step 5: Solve for x
    x = 181,947,964,844.24/493,513
  6. Step 6: Final answer
    x = 368,679.17

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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.