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Finding the Fourth Proportional to 301,312.20, 451,970.94 and 76,672.80

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Solution

The fourth proportional to 301,312.20, 451,970.94 and 76,672.80 is: 115,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,312.20 : 451,970.94 = 76,672.80 : x
  2. Step 2: Convert to fraction form
    301,312.20/451,970.94 = 76,672.80/x
  3. Step 3: Cross multiply
    301,312.20x = 451,970.94 × 76,672.80
  4. Step 4: Simplify right side
    301,312.20x = 34,653,877,488.43
  5. Step 5: Solve for x
    x = 34,653,877,488.43/301,312.20
  6. Step 6: Final answer
    x = 115,009.87

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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.