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Finding the Fourth Proportional to 385,792.86, 578,684.97 and 136,416.54

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Solution

The fourth proportional to 385,792.86, 578,684.97 and 136,416.54 is: 204,623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,792.86 : 578,684.97 = 136,416.54 : x
  2. Step 2: Convert to fraction form
    385,792.86/578,684.97 = 136,416.54/x
  3. Step 3: Cross multiply
    385,792.86x = 578,684.97 × 136,416.54
  4. Step 4: Simplify right side
    385,792.86x = 78,942,201,357.40
  5. Step 5: Solve for x
    x = 78,942,201,357.40/385,792.86
  6. Step 6: Final answer
    x = 204,623.28

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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.