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Finding the Fourth Proportional to 403,882.40, 605,823.60 and 347,785.86

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Solution

The fourth proportional to 403,882.40, 605,823.60 and 347,785.86 is: 521,678.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,882.40 : 605,823.60 = 347,785.86 : x
  2. Step 2: Convert to fraction form
    403,882.40/605,823.60 = 347,785.86/x
  3. Step 3: Cross multiply
    403,882.40x = 605,823.60 × 347,785.86
  4. Step 4: Simplify right side
    403,882.40x = 210,696,881,734.30
  5. Step 5: Solve for x
    x = 210,696,881,734.30/403,882.40
  6. Step 6: Final answer
    x = 521,678.79

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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.