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Finding the Fourth Proportional to 252,687.36, 378,602.72 and 152,637.44

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Solution

The fourth proportional to 252,687.36, 378,602.72 and 152,637.44 is: 228,697.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,687.36 : 378,602.72 = 152,637.44 : x
  2. Step 2: Convert to fraction form
    252,687.36/378,602.72 = 152,637.44/x
  3. Step 3: Cross multiply
    252,687.36x = 378,602.72 × 152,637.44
  4. Step 4: Simplify right side
    252,687.36x = 57,788,949,957.84
  5. Step 5: Solve for x
    x = 57,788,949,957.84/252,687.36
  6. Step 6: Final answer
    x = 228,697.43

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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.