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Finding the Fourth Proportional to 512,234.80, 767,833.80 and 301,764.40

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Solution

The fourth proportional to 512,234.80, 767,833.80 and 301,764.40 is: 452,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,234.80 : 767,833.80 = 301,764.40 : x
  2. Step 2: Convert to fraction form
    512,234.80/767,833.80 = 301,764.40/x
  3. Step 3: Cross multiply
    512,234.80x = 767,833.80 × 301,764.40
  4. Step 4: Simplify right side
    512,234.80x = 231,704,905,956.72
  5. Step 5: Solve for x
    x = 231,704,905,956.72/512,234.80
  6. Step 6: Final answer
    x = 452,341.20

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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.