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Finding the Fourth Proportional to 385,666.20, 578,720.82 and 301,189.24

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Solution

The fourth proportional to 385,666.20, 578,720.82 and 301,189.24 is: 451,956.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,666.20 : 578,720.82 = 301,189.24 : x
  2. Step 2: Convert to fraction form
    385,666.20/578,720.82 = 301,189.24/x
  3. Step 3: Cross multiply
    385,666.20x = 578,720.82 × 301,189.24
  4. Step 4: Simplify right side
    385,666.20x = 174,304,483,947.98
  5. Step 5: Solve for x
    x = 174,304,483,947.98/385,666.20
  6. Step 6: Final answer
    x = 451,956.86

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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.