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Finding the Fourth Proportional to 379,704.84, 569,381.96 and 139,758.48

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Solution

The fourth proportional to 379,704.84, 569,381.96 and 139,758.48 is: 209,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,704.84 : 569,381.96 = 139,758.48 : x
  2. Step 2: Convert to fraction form
    379,704.84/569,381.96 = 139,758.48/x
  3. Step 3: Cross multiply
    379,704.84x = 569,381.96 × 139,758.48
  4. Step 4: Simplify right side
    379,704.84x = 79,575,957,269.02
  5. Step 5: Solve for x
    x = 79,575,957,269.02/379,704.84
  6. Step 6: Final answer
    x = 209,573.20

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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.