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Finding the Fourth Proportional to 647,709.76, 893,850.96 and 361,199.08

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Solution

The fourth proportional to 647,709.76, 893,850.96 and 361,199.08 is: 498,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,709.76 : 893,850.96 = 361,199.08 : x
  2. Step 2: Convert to fraction form
    647,709.76/893,850.96 = 361,199.08/x
  3. Step 3: Cross multiply
    647,709.76x = 893,850.96 × 361,199.08
  4. Step 4: Simplify right side
    647,709.76x = 322,858,144,409.12
  5. Step 5: Solve for x
    x = 322,858,144,409.12/647,709.76
  6. Step 6: Final answer
    x = 498,461.14

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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.