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Finding the Fourth Proportional to 2,652,457.92, 3,978,714.24 and 2,123,342.88

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Solution

The fourth proportional to 2,652,457.92, 3,978,714.24 and 2,123,342.88 is: 3,185,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652,457.92 : 3,978,714.24 = 2,123,342.88 : x
  2. Step 2: Convert to fraction form
    2,652,457.92/3,978,714.24 = 2,123,342.88/x
  3. Step 3: Cross multiply
    2,652,457.92x = 3,978,714.24 × 2,123,342.88
  4. Step 4: Simplify right side
    2,652,457.92x = 8,448,174,553,058.61
  5. Step 5: Solve for x
    x = 8,448,174,553,058.61/2,652,457.92
  6. Step 6: Final answer
    x = 3,185,036.22

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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.