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Finding the Fourth Proportional to 403,765.53, 605,928 and 160,581.69

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Solution

The fourth proportional to 403,765.53, 605,928 and 160,581.69 is: 240,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,765.53 : 605,928 = 160,581.69 : x
  2. Step 2: Convert to fraction form
    403,765.53/605,928 = 160,581.69/x
  3. Step 3: Cross multiply
    403,765.53x = 605,928 × 160,581.69
  4. Step 4: Simplify right side
    403,765.53x = 97,300,942,258.32
  5. Step 5: Solve for x
    x = 97,300,942,258.32/403,765.53
  6. Step 6: Final answer
    x = 240,983.78

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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.