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Finding the Fourth Proportional to 258,507.04, 356,802.96 and 157,989.28

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Solution

The fourth proportional to 258,507.04, 356,802.96 and 157,989.28 is: 218,063.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,507.04 : 356,802.96 = 157,989.28 : x
  2. Step 2: Convert to fraction form
    258,507.04/356,802.96 = 157,989.28/x
  3. Step 3: Cross multiply
    258,507.04x = 356,802.96 × 157,989.28
  4. Step 4: Simplify right side
    258,507.04x = 56,371,042,752.27
  5. Step 5: Solve for x
    x = 56,371,042,752.27/258,507.04
  6. Step 6: Final answer
    x = 218,063.86

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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.