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Finding the Fourth Proportional to 585,438.23, 878,215.75 and 158,980.97

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Solution

The fourth proportional to 585,438.23, 878,215.75 and 158,980.97 is: 238,487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,438.23 : 878,215.75 = 158,980.97 : x
  2. Step 2: Convert to fraction form
    585,438.23/878,215.75 = 158,980.97/x
  3. Step 3: Cross multiply
    585,438.23x = 878,215.75 × 158,980.97
  4. Step 4: Simplify right side
    585,438.23x = 139,619,593,602.36
  5. Step 5: Solve for x
    x = 139,619,593,602.36/585,438.23
  6. Step 6: Final answer
    x = 238,487.32

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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.