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Finding the Fourth Proportional to 418,840.34, 628,252.32 and 119,322.86

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Solution

The fourth proportional to 418,840.34, 628,252.32 and 119,322.86 is: 178,981.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,840.34 : 628,252.32 = 119,322.86 : x
  2. Step 2: Convert to fraction form
    418,840.34/628,252.32 = 119,322.86/x
  3. Step 3: Cross multiply
    418,840.34x = 628,252.32 × 119,322.86
  4. Step 4: Simplify right side
    418,840.34x = 74,964,863,624.04
  5. Step 5: Solve for x
    x = 74,964,863,624.04/418,840.34
  6. Step 6: Final answer
    x = 178,981.96

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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.