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Finding the Fourth Proportional to 418,820, 628,431.60 and 208,476.32

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Solution

The fourth proportional to 418,820, 628,431.60 and 208,476.32 is: 312,814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,820 : 628,431.60 = 208,476.32 : x
  2. Step 2: Convert to fraction form
    418,820/628,431.60 = 208,476.32/x
  3. Step 3: Cross multiply
    418,820x = 628,431.60 × 208,476.32
  4. Step 4: Simplify right side
    418,820x = 131,013,107,339.71
  5. Step 5: Solve for x
    x = 131,013,107,339.71/418,820
  6. Step 6: Final answer
    x = 312,814.83

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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.