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Finding the Fourth Proportional to 379,708.72, 569,478.64 and 109,777.90

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Solution

The fourth proportional to 379,708.72, 569,478.64 and 109,777.90 is: 164,642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,708.72 : 569,478.64 = 109,777.90 : x
  2. Step 2: Convert to fraction form
    379,708.72/569,478.64 = 109,777.90/x
  3. Step 3: Cross multiply
    379,708.72x = 569,478.64 × 109,777.90
  4. Step 4: Simplify right side
    379,708.72x = 62,516,169,194.06
  5. Step 5: Solve for x
    x = 62,516,169,194.06/379,708.72
  6. Step 6: Final answer
    x = 164,642.44

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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.