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Finding the Fourth Proportional to 403,711.96, 605,686.36 and 119,410

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Solution

The fourth proportional to 403,711.96, 605,686.36 and 119,410 is: 179,150.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,711.96 : 605,686.36 = 119,410 : x
  2. Step 2: Convert to fraction form
    403,711.96/605,686.36 = 119,410/x
  3. Step 3: Cross multiply
    403,711.96x = 605,686.36 × 119,410
  4. Step 4: Simplify right side
    403,711.96x = 72,325,007,949.08
  5. Step 5: Solve for x
    x = 72,325,007,949.08/403,711.96
  6. Step 6: Final answer
    x = 179,150.03

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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.