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Finding the Fourth Proportional to 385,419.20, 578,125.60 and 301,250.12

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Solution

The fourth proportional to 385,419.20, 578,125.60 and 301,250.12 is: 451,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,419.20 : 578,125.60 = 301,250.12 : x
  2. Step 2: Convert to fraction form
    385,419.20/578,125.60 = 301,250.12/x
  3. Step 3: Cross multiply
    385,419.20x = 578,125.60 × 301,250.12
  4. Step 4: Simplify right side
    385,419.20x = 174,160,406,375.07
  5. Step 5: Solve for x
    x = 174,160,406,375.07/385,419.20
  6. Step 6: Final answer
    x = 451,872.68

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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.