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Finding the Fourth Proportional to 287,710.53, 396,962.64 and 163,529.76

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Solution

The fourth proportional to 287,710.53, 396,962.64 and 163,529.76 is: 225,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,710.53 : 396,962.64 = 163,529.76 : x
  2. Step 2: Convert to fraction form
    287,710.53/396,962.64 = 163,529.76/x
  3. Step 3: Cross multiply
    287,710.53x = 396,962.64 × 163,529.76
  4. Step 4: Simplify right side
    287,710.53x = 64,915,206,736.78
  5. Step 5: Solve for x
    x = 64,915,206,736.78/287,710.53
  6. Step 6: Final answer
    x = 225,626.80

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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.