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Finding the Fourth Proportional to 385,624.30, 578,657.76 and 301,147.30

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Solution

The fourth proportional to 385,624.30, 578,657.76 and 301,147.30 is: 451,893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,624.30 : 578,657.76 = 301,147.30 : x
  2. Step 2: Convert to fraction form
    385,624.30/578,657.76 = 301,147.30/x
  3. Step 3: Cross multiply
    385,624.30x = 578,657.76 × 301,147.30
  4. Step 4: Simplify right side
    385,624.30x = 174,261,222,048.05
  5. Step 5: Solve for x
    x = 174,261,222,048.05/385,624.30
  6. Step 6: Final answer
    x = 451,893.78

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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.