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Finding the Fourth Proportional to 218,813.10, 328,219.65 and 52,601.10

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Solution

The fourth proportional to 218,813.10, 328,219.65 and 52,601.10 is: 78,901.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,813.10 : 328,219.65 = 52,601.10 : x
  2. Step 2: Convert to fraction form
    218,813.10/328,219.65 = 52,601.10/x
  3. Step 3: Cross multiply
    218,813.10x = 328,219.65 × 52,601.10
  4. Step 4: Simplify right side
    218,813.10x = 17,264,714,631.62
  5. Step 5: Solve for x
    x = 17,264,714,631.62/218,813.10
  6. Step 6: Final answer
    x = 78,901.65

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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.