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Finding the Fourth Proportional to 379,705.72, 569,474.14 and 109,774.90

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Solution

The fourth proportional to 379,705.72, 569,474.14 and 109,774.90 is: 164,637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,705.72 : 569,474.14 = 109,774.90 : x
  2. Step 2: Convert to fraction form
    379,705.72/569,474.14 = 109,774.90/x
  3. Step 3: Cross multiply
    379,705.72x = 569,474.14 × 109,774.90
  4. Step 4: Simplify right side
    379,705.72x = 62,513,966,771.09
  5. Step 5: Solve for x
    x = 62,513,966,771.09/379,705.72
  6. Step 6: Final answer
    x = 164,637.94

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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.