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Finding the Fourth Proportional to 218,890.26, 328,335.45 and 52,678.26

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Solution

The fourth proportional to 218,890.26, 328,335.45 and 52,678.26 is: 79,017.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,890.26 : 328,335.45 = 52,678.26 : x
  2. Step 2: Convert to fraction form
    218,890.26/328,335.45 = 52,678.26/x
  3. Step 3: Cross multiply
    218,890.26x = 328,335.45 × 52,678.26
  4. Step 4: Simplify right side
    218,890.26x = 17,296,140,202.32
  5. Step 5: Solve for x
    x = 17,296,140,202.32/218,890.26
  6. Step 6: Final answer
    x = 79,017.40

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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.