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Finding the Fourth Proportional to 218,953.40, 328,430.10 and 100,855.40

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Solution

The fourth proportional to 218,953.40, 328,430.10 and 100,855.40 is: 151,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,953.40 : 328,430.10 = 100,855.40 : x
  2. Step 2: Convert to fraction form
    218,953.40/328,430.10 = 100,855.40/x
  3. Step 3: Cross multiply
    218,953.40x = 328,430.10 × 100,855.40
  4. Step 4: Simplify right side
    218,953.40x = 33,123,949,107.54
  5. Step 5: Solve for x
    x = 33,123,949,107.54/218,953.40
  6. Step 6: Final answer
    x = 151,283.10

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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.