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Finding the Fourth Proportional to 287,629.92, 431,415.72 and 77,240.52

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Solution

The fourth proportional to 287,629.92, 431,415.72 and 77,240.52 is: 115,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,629.92 : 431,415.72 = 77,240.52 : x
  2. Step 2: Convert to fraction form
    287,629.92/431,415.72 = 77,240.52/x
  3. Step 3: Cross multiply
    287,629.92x = 431,415.72 × 77,240.52
  4. Step 4: Simplify right side
    287,629.92x = 33,322,774,548.97
  5. Step 5: Solve for x
    x = 33,322,774,548.97/287,629.92
  6. Step 6: Final answer
    x = 115,852.95

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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.