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Finding the Fourth Proportional to 385,446.10, 578,165.90 and 301,277.06

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Solution

The fourth proportional to 385,446.10, 578,165.90 and 301,277.06 is: 451,913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,446.10 : 578,165.90 = 301,277.06 : x
  2. Step 2: Convert to fraction form
    385,446.10/578,165.90 = 301,277.06/x
  3. Step 3: Cross multiply
    385,446.10x = 578,165.90 × 301,277.06
  4. Step 4: Simplify right side
    385,446.10x = 174,188,122,544.25
  5. Step 5: Solve for x
    x = 174,188,122,544.25/385,446.10
  6. Step 6: Final answer
    x = 451,913.05

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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.