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Finding the Fourth Proportional to 403,434.94, 605,218.02 and 119,154.22

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Solution

The fourth proportional to 403,434.94, 605,218.02 and 119,154.22 is: 178,750.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,434.94 : 605,218.02 = 119,154.22 : x
  2. Step 2: Convert to fraction form
    403,434.94/605,218.02 = 119,154.22/x
  3. Step 3: Cross multiply
    403,434.94x = 605,218.02 × 119,154.22
  4. Step 4: Simplify right side
    403,434.94x = 72,114,281,103.04
  5. Step 5: Solve for x
    x = 72,114,281,103.04/403,434.94
  6. Step 6: Final answer
    x = 178,750.71

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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.