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Finding the Fourth Proportional to 403,578.90, 605,358.63 and 123,098.58

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Solution

The fourth proportional to 403,578.90, 605,358.63 and 123,098.58 is: 184,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,578.90 : 605,358.63 = 123,098.58 : x
  2. Step 2: Convert to fraction form
    403,578.90/605,358.63 = 123,098.58/x
  3. Step 3: Cross multiply
    403,578.90x = 605,358.63 × 123,098.58
  4. Step 4: Simplify right side
    403,578.90x = 74,518,787,743.75
  5. Step 5: Solve for x
    x = 74,518,787,743.75/403,578.90
  6. Step 6: Final answer
    x = 184,644.91

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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.