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Finding the Fourth Proportional to 445,834.60, 668,832.90 and 146,231.80

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Solution

The fourth proportional to 445,834.60, 668,832.90 and 146,231.80 is: 219,374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,834.60 : 668,832.90 = 146,231.80 : x
  2. Step 2: Convert to fraction form
    445,834.60/668,832.90 = 146,231.80/x
  3. Step 3: Cross multiply
    445,834.60x = 668,832.90 × 146,231.80
  4. Step 4: Simplify right side
    445,834.60x = 97,804,638,866.22
  5. Step 5: Solve for x
    x = 97,804,638,866.22/445,834.60
  6. Step 6: Final answer
    x = 219,374.27

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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.