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Finding the Fourth Proportional to 385,437.20, 578,069.40 and 253,245.20

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Solution

The fourth proportional to 385,437.20, 578,069.40 and 253,245.20 is: 379,811.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,437.20 : 578,069.40 = 253,245.20 : x
  2. Step 2: Convert to fraction form
    385,437.20/578,069.40 = 253,245.20/x
  3. Step 3: Cross multiply
    385,437.20x = 578,069.40 × 253,245.20
  4. Step 4: Simplify right side
    385,437.20x = 146,393,300,816.88
  5. Step 5: Solve for x
    x = 146,393,300,816.88/385,437.20
  6. Step 6: Final answer
    x = 379,811.03

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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.