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Finding the Fourth Proportional to 522,258, 720,720.60 and 283,794

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Solution

The fourth proportional to 522,258, 720,720.60 and 283,794 is: 391,638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,258 : 720,720.60 = 283,794 : x
  2. Step 2: Convert to fraction form
    522,258/720,720.60 = 283,794/x
  3. Step 3: Cross multiply
    522,258x = 720,720.60 × 283,794
  4. Step 4: Simplify right side
    522,258x = 204,536,181,956.40
  5. Step 5: Solve for x
    x = 204,536,181,956.40/522,258
  6. Step 6: Final answer
    x = 391,638.20

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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.