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Finding the Fourth Proportional to 301,347, 452,020.50 and 79,731

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Solution

The fourth proportional to 301,347, 452,020.50 and 79,731 is: 119,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,347 : 452,020.50 = 79,731 : x
  2. Step 2: Convert to fraction form
    301,347/452,020.50 = 79,731/x
  3. Step 3: Cross multiply
    301,347x = 452,020.50 × 79,731
  4. Step 4: Simplify right side
    301,347x = 36,040,046,485.50
  5. Step 5: Solve for x
    x = 36,040,046,485.50/301,347
  6. Step 6: Final answer
    x = 119,596.50

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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.