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Finding the Fourth Proportional to 419,349.84, 628,947 and 138,830.64

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Solution

The fourth proportional to 419,349.84, 628,947 and 138,830.64 is: 208,220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,349.84 : 628,947 = 138,830.64 : x
  2. Step 2: Convert to fraction form
    419,349.84/628,947 = 138,830.64/x
  3. Step 3: Cross multiply
    419,349.84x = 628,947 × 138,830.64
  4. Step 4: Simplify right side
    419,349.84x = 87,317,114,536.08
  5. Step 5: Solve for x
    x = 87,317,114,536.08/419,349.84
  6. Step 6: Final answer
    x = 208,220.22

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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.