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Finding the Fourth Proportional to 384,521.14, 530,623.11 and 221,165.22

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Solution

The fourth proportional to 384,521.14, 530,623.11 and 221,165.22 is: 305,198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,521.14 : 530,623.11 = 221,165.22 : x
  2. Step 2: Convert to fraction form
    384,521.14/530,623.11 = 221,165.22/x
  3. Step 3: Cross multiply
    384,521.14x = 530,623.11 × 221,165.22
  4. Step 4: Simplify right side
    384,521.14x = 117,355,376,860.23
  5. Step 5: Solve for x
    x = 117,355,376,860.23/384,521.14
  6. Step 6: Final answer
    x = 305,198.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.