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Finding the Fourth Proportional to 403,002, 556,142.75 and 221,710.04

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Solution

The fourth proportional to 403,002, 556,142.75 and 221,710.04 is: 305,959.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,002 : 556,142.75 = 221,710.04 : x
  2. Step 2: Convert to fraction form
    403,002/556,142.75 = 221,710.04/x
  3. Step 3: Cross multiply
    403,002x = 556,142.75 × 221,710.04
  4. Step 4: Simplify right side
    403,002x = 123,302,427,458.95
  5. Step 5: Solve for x
    x = 123,302,427,458.95/403,002
  6. Step 6: Final answer
    x = 305,959.84

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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.