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Finding the Fourth Proportional to 385,441.74, 578,159.38 and 301,272.69

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Solution

The fourth proportional to 385,441.74, 578,159.38 and 301,272.69 is: 451,906.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,441.74 : 578,159.38 = 301,272.69 : x
  2. Step 2: Convert to fraction form
    385,441.74/578,159.38 = 301,272.69/x
  3. Step 3: Cross multiply
    385,441.74x = 578,159.38 × 301,272.69
  4. Step 4: Simplify right side
    385,441.74x = 174,183,631,661.33
  5. Step 5: Solve for x
    x = 174,183,631,661.33/385,441.74
  6. Step 6: Final answer
    x = 451,906.51

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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.