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Finding the Fourth Proportional to 403,945.80, 605,627.10 and 263,783.40

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Solution

The fourth proportional to 403,945.80, 605,627.10 and 263,783.40 is: 395,484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,945.80 : 605,627.10 = 263,783.40 : x
  2. Step 2: Convert to fraction form
    403,945.80/605,627.10 = 263,783.40/x
  3. Step 3: Cross multiply
    403,945.80x = 605,627.10 × 263,783.40
  4. Step 4: Simplify right side
    403,945.80x = 159,754,375,570.14
  5. Step 5: Solve for x
    x = 159,754,375,570.14/403,945.80
  6. Step 6: Final answer
    x = 395,484.68

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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.