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Finding the Fourth Proportional to 220,465, 330,697.50 and 54,253

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Solution

The fourth proportional to 220,465, 330,697.50 and 54,253 is: 81,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,465 : 330,697.50 = 54,253 : x
  2. Step 2: Convert to fraction form
    220,465/330,697.50 = 54,253/x
  3. Step 3: Cross multiply
    220,465x = 330,697.50 × 54,253
  4. Step 4: Simplify right side
    220,465x = 17,941,331,467.50
  5. Step 5: Solve for x
    x = 17,941,331,467.50/220,465
  6. Step 6: Final answer
    x = 81,379.50

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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.