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Finding the Fourth Proportional to 627,138, 865,459.74 and 355,199.12

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Solution

The fourth proportional to 627,138, 865,459.74 and 355,199.12 is: 490,180.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,138 : 865,459.74 = 355,199.12 : x
  2. Step 2: Convert to fraction form
    627,138/865,459.74 = 355,199.12/x
  3. Step 3: Cross multiply
    627,138x = 865,459.74 × 355,199.12
  4. Step 4: Simplify right side
    627,138x = 307,410,538,043.43
  5. Step 5: Solve for x
    x = 307,410,538,043.43/627,138
  6. Step 6: Final answer
    x = 490,180.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.