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Finding the Fourth Proportional to 403,751.40, 605,715.76 and 119,419.74

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Solution

The fourth proportional to 403,751.40, 605,715.76 and 119,419.74 is: 179,155.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,751.40 : 605,715.76 = 119,419.74 : x
  2. Step 2: Convert to fraction form
    403,751.40/605,715.76 = 119,419.74/x
  3. Step 3: Cross multiply
    403,751.40x = 605,715.76 × 119,419.74
  4. Step 4: Simplify right side
    403,751.40x = 72,334,418,573.10
  5. Step 5: Solve for x
    x = 72,334,418,573.10/403,751.40
  6. Step 6: Final answer
    x = 179,155.83

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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.