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Finding the Fourth Proportional to 358,774.40, 538,161.60 and 209,183.60

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Solution

The fourth proportional to 358,774.40, 538,161.60 and 209,183.60 is: 313,775.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,774.40 : 538,161.60 = 209,183.60 : x
  2. Step 2: Convert to fraction form
    358,774.40/538,161.60 = 209,183.60/x
  3. Step 3: Cross multiply
    358,774.40x = 538,161.60 × 209,183.60
  4. Step 4: Simplify right side
    358,774.40x = 112,574,580,869.76
  5. Step 5: Solve for x
    x = 112,574,580,869.76/358,774.40
  6. Step 6: Final answer
    x = 313,775.40

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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.