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Finding the Fourth Proportional to 219,215.97, 328,757.13 and 113,977.53

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Solution

The fourth proportional to 219,215.97, 328,757.13 and 113,977.53 is: 170,931.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,215.97 : 328,757.13 = 113,977.53 : x
  2. Step 2: Convert to fraction form
    219,215.97/328,757.13 = 113,977.53/x
  3. Step 3: Cross multiply
    219,215.97x = 328,757.13 × 113,977.53
  4. Step 4: Simplify right side
    219,215.97x = 37,470,925,647.29
  5. Step 5: Solve for x
    x = 37,470,925,647.29/219,215.97
  6. Step 6: Final answer
    x = 170,931.55

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1.5x scale

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.