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Finding the Fourth Proportional to 513,589.96, 768,885.90 and 299,702.44

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Solution

The fourth proportional to 513,589.96, 768,885.90 and 299,702.44 is: 448,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,589.96 : 768,885.90 = 299,702.44 : x
  2. Step 2: Convert to fraction form
    513,589.96/768,885.90 = 299,702.44/x
  3. Step 3: Cross multiply
    513,589.96x = 768,885.90 × 299,702.44
  4. Step 4: Simplify right side
    513,589.96x = 230,436,980,311.60
  5. Step 5: Solve for x
    x = 230,436,980,311.60/513,589.96
  6. Step 6: Final answer
    x = 448,678.90

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1.5x scale

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.