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Finding the Fourth Proportional to 418,980.77, 628,477.01 and 119,461.46

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Solution

The fourth proportional to 418,980.77, 628,477.01 and 119,461.46 is: 179,193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,980.77 : 628,477.01 = 119,461.46 : x
  2. Step 2: Convert to fraction form
    418,980.77/628,477.01 = 119,461.46/x
  3. Step 3: Cross multiply
    418,980.77x = 628,477.01 × 119,461.46
  4. Step 4: Simplify right side
    418,980.77x = 75,078,783,392.01
  5. Step 5: Solve for x
    x = 75,078,783,392.01/418,980.77
  6. Step 6: Final answer
    x = 179,193.86

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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.