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Finding the Fourth Proportional to 218,983.59, 328,474.67 and 52,771.59

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Solution

The fourth proportional to 218,983.59, 328,474.67 and 52,771.59 is: 79,157.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,983.59 : 328,474.67 = 52,771.59 : x
  2. Step 2: Convert to fraction form
    218,983.59/328,474.67 = 52,771.59/x
  3. Step 3: Cross multiply
    218,983.59x = 328,474.67 × 52,771.59
  4. Step 4: Simplify right side
    218,983.59x = 17,334,130,346.77
  5. Step 5: Solve for x
    x = 17,334,130,346.77/218,983.59
  6. Step 6: Final answer
    x = 79,157.21

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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.