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Finding the Fourth Proportional to 490,580.60, 677,007.33 and 296,985.74

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Solution

The fourth proportional to 490,580.60, 677,007.33 and 296,985.74 is: 409,844.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,580.60 : 677,007.33 = 296,985.74 : x
  2. Step 2: Convert to fraction form
    490,580.60/677,007.33 = 296,985.74/x
  3. Step 3: Cross multiply
    490,580.60x = 677,007.33 × 296,985.74
  4. Step 4: Simplify right side
    490,580.60x = 201,061,522,885.47
  5. Step 5: Solve for x
    x = 201,061,522,885.47/490,580.60
  6. Step 6: Final answer
    x = 409,844.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.