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Finding the Fourth Proportional to 385,661.18, 578,270.28 and 205,524.83

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Solution

The fourth proportional to 385,661.18, 578,270.28 and 205,524.83 is: 308,169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,661.18 : 578,270.28 = 205,524.83 : x
  2. Step 2: Convert to fraction form
    385,661.18/578,270.28 = 205,524.83/x
  3. Step 3: Cross multiply
    385,661.18x = 578,270.28 × 205,524.83
  4. Step 4: Simplify right side
    385,661.18x = 118,848,898,099.70
  5. Step 5: Solve for x
    x = 118,848,898,099.70/385,661.18
  6. Step 6: Final answer
    x = 308,169.21

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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.