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Finding the Fourth Proportional to 403,921.90, 605,911.65 and 123,438.70

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Solution

The fourth proportional to 403,921.90, 605,911.65 and 123,438.70 is: 185,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,921.90 : 605,911.65 = 123,438.70 : x
  2. Step 2: Convert to fraction form
    403,921.90/605,911.65 = 123,438.70/x
  3. Step 3: Cross multiply
    403,921.90x = 605,911.65 × 123,438.70
  4. Step 4: Simplify right side
    403,921.90x = 74,792,946,390.86
  5. Step 5: Solve for x
    x = 74,792,946,390.86/403,921.90
  6. Step 6: Final answer
    x = 185,166.85

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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.