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Finding the Fourth Proportional to 358,854.40, 538,022.40 and 201,131.20

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Solution

The fourth proportional to 358,854.40, 538,022.40 and 201,131.20 is: 301,551.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,854.40 : 538,022.40 = 201,131.20 : x
  2. Step 2: Convert to fraction form
    358,854.40/538,022.40 = 201,131.20/x
  3. Step 3: Cross multiply
    358,854.40x = 538,022.40 × 201,131.20
  4. Step 4: Simplify right side
    358,854.40x = 108,213,090,938.88
  5. Step 5: Solve for x
    x = 108,213,090,938.88/358,854.40
  6. Step 6: Final answer
    x = 301,551.52

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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.