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Finding the Fourth Proportional to 358,742.92, 538,120.86 and 92,509

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Solution

The fourth proportional to 358,742.92, 538,120.86 and 92,509 is: 138,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,742.92 : 538,120.86 = 92,509 : x
  2. Step 2: Convert to fraction form
    358,742.92/538,120.86 = 92,509/x
  3. Step 3: Cross multiply
    358,742.92x = 538,120.86 × 92,509
  4. Step 4: Simplify right side
    358,742.92x = 49,781,022,637.74
  5. Step 5: Solve for x
    x = 49,781,022,637.74/358,742.92
  6. Step 6: Final answer
    x = 138,765.17

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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.