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Finding the Fourth Proportional to 646,502.20, 968,441.10 and 365,691.40

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Solution

The fourth proportional to 646,502.20, 968,441.10 and 365,691.40 is: 547,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,502.20 : 968,441.10 = 365,691.40 : x
  2. Step 2: Convert to fraction form
    646,502.20/968,441.10 = 365,691.40/x
  3. Step 3: Cross multiply
    646,502.20x = 968,441.10 × 365,691.40
  4. Step 4: Simplify right side
    646,502.20x = 354,150,581,676.54
  5. Step 5: Solve for x
    x = 354,150,581,676.54/646,502.20
  6. Step 6: Final answer
    x = 547,794.86

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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.