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Finding the Fourth Proportional to 385,907.20, 578,952.78 and 133,189.89

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Solution

The fourth proportional to 385,907.20, 578,952.78 and 133,189.89 is: 199,816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,907.20 : 578,952.78 = 133,189.89 : x
  2. Step 2: Convert to fraction form
    385,907.20/578,952.78 = 133,189.89/x
  3. Step 3: Cross multiply
    385,907.20x = 578,952.78 × 133,189.89
  4. Step 4: Simplify right side
    385,907.20x = 77,110,659,485.07
  5. Step 5: Solve for x
    x = 77,110,659,485.07/385,907.20
  6. Step 6: Final answer
    x = 199,816.59

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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.