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Finding the Fourth Proportional to 403,198.40, 604,689.12 and 122,640.32

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Solution

The fourth proportional to 403,198.40, 604,689.12 and 122,640.32 is: 183,927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,198.40 : 604,689.12 = 122,640.32 : x
  2. Step 2: Convert to fraction form
    403,198.40/604,689.12 = 122,640.32/x
  3. Step 3: Cross multiply
    403,198.40x = 604,689.12 × 122,640.32
  4. Step 4: Simplify right side
    403,198.40x = 74,159,267,177.32
  5. Step 5: Solve for x
    x = 74,159,267,177.32/403,198.40
  6. Step 6: Final answer
    x = 183,927.48

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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.