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Finding the Fourth Proportional to 553,618.02, 763,992.84 and 298,969.20

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Solution

The fourth proportional to 553,618.02, 763,992.84 and 298,969.20 is: 412,577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,618.02 : 763,992.84 = 298,969.20 : x
  2. Step 2: Convert to fraction form
    553,618.02/763,992.84 = 298,969.20/x
  3. Step 3: Cross multiply
    553,618.02x = 763,992.84 × 298,969.20
  4. Step 4: Simplify right side
    553,618.02x = 228,410,328,180.53
  5. Step 5: Solve for x
    x = 228,410,328,180.53/553,618.02
  6. Step 6: Final answer
    x = 412,577.48

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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.