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Finding the Fourth Proportional to 393,911.30, 590,817.71 and 109,623.17

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Solution

The fourth proportional to 393,911.30, 590,817.71 and 109,623.17 is: 164,421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,911.30 : 590,817.71 = 109,623.17 : x
  2. Step 2: Convert to fraction form
    393,911.30/590,817.71 = 109,623.17/x
  3. Step 3: Cross multiply
    393,911.30x = 590,817.71 × 109,623.17
  4. Step 4: Simplify right side
    393,911.30x = 64,767,312,013.44
  5. Step 5: Solve for x
    x = 64,767,312,013.44/393,911.30
  6. Step 6: Final answer
    x = 164,421.06

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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.