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Finding the Fourth Proportional to 445,829, 668,782.38 and 113,405

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Solution

The fourth proportional to 445,829, 668,782.38 and 113,405 is: 170,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,829 : 668,782.38 = 113,405 : x
  2. Step 2: Convert to fraction form
    445,829/668,782.38 = 113,405/x
  3. Step 3: Cross multiply
    445,829x = 668,782.38 × 113,405
  4. Step 4: Simplify right side
    445,829x = 75,843,265,803.90
  5. Step 5: Solve for x
    x = 75,843,265,803.90/445,829
  6. Step 6: Final answer
    x = 170,117.39

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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.