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Finding the Fourth Proportional to 385,660.68, 578,269.53 and 205,524.33

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Solution

The fourth proportional to 385,660.68, 578,269.53 and 205,524.33 is: 308,168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,660.68 : 578,269.53 = 205,524.33 : x
  2. Step 2: Convert to fraction form
    385,660.68/578,269.53 = 205,524.33/x
  3. Step 3: Cross multiply
    385,660.68x = 578,269.53 × 205,524.33
  4. Step 4: Simplify right side
    385,660.68x = 118,848,457,712.67
  5. Step 5: Solve for x
    x = 118,848,457,712.67/385,660.68
  6. Step 6: Final answer
    x = 308,168.46

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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.