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Finding the Fourth Proportional to 218,973, 328,459.50 and 52,761

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Solution

The fourth proportional to 218,973, 328,459.50 and 52,761 is: 79,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,973 : 328,459.50 = 52,761 : x
  2. Step 2: Convert to fraction form
    218,973/328,459.50 = 52,761/x
  3. Step 3: Cross multiply
    218,973x = 328,459.50 × 52,761
  4. Step 4: Simplify right side
    218,973x = 17,329,851,679.50
  5. Step 5: Solve for x
    x = 17,329,851,679.50/218,973
  6. Step 6: Final answer
    x = 79,141.50

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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.