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Finding the Fourth Proportional to 218,705.48, 328,058.23 and 52,493.48

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Solution

The fourth proportional to 218,705.48, 328,058.23 and 52,493.48 is: 78,740.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,705.48 : 328,058.23 = 52,493.48 : x
  2. Step 2: Convert to fraction form
    218,705.48/328,058.23 = 52,493.48/x
  3. Step 3: Cross multiply
    218,705.48x = 328,058.23 × 52,493.48
  4. Step 4: Simplify right side
    218,705.48x = 17,220,919,390.15
  5. Step 5: Solve for x
    x = 17,220,919,390.15/218,705.48
  6. Step 6: Final answer
    x = 78,740.23

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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.