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Finding the Fourth Proportional to 442,529.80, 610,533.63 and 261,151

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Solution

The fourth proportional to 442,529.80, 610,533.63 and 261,151 is: 360,295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,529.80 : 610,533.63 = 261,151 : x
  2. Step 2: Convert to fraction form
    442,529.80/610,533.63 = 261,151/x
  3. Step 3: Cross multiply
    442,529.80x = 610,533.63 × 261,151
  4. Step 4: Simplify right side
    442,529.80x = 159,441,468,008.13
  5. Step 5: Solve for x
    x = 159,441,468,008.13/442,529.80
  6. Step 6: Final answer
    x = 360,295.44

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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.