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Finding the Fourth Proportional to 403,419.93, 605,195.58 and 119,139.23

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Solution

The fourth proportional to 403,419.93, 605,195.58 and 119,139.23 is: 178,728.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,419.93 : 605,195.58 = 119,139.23 : x
  2. Step 2: Convert to fraction form
    403,419.93/605,195.58 = 119,139.23/x
  3. Step 3: Cross multiply
    403,419.93x = 605,195.58 × 119,139.23
  4. Step 4: Simplify right side
    403,419.93x = 72,102,532,374.63
  5. Step 5: Solve for x
    x = 72,102,532,374.63/403,419.93
  6. Step 6: Final answer
    x = 178,728.24

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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.