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Finding the Fourth Proportional to 358,866.40, 538,040.40 and 201,143.20

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Solution

The fourth proportional to 358,866.40, 538,040.40 and 201,143.20 is: 301,569.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,866.40 : 538,040.40 = 201,143.20 : x
  2. Step 2: Convert to fraction form
    358,866.40/538,040.40 = 201,143.20/x
  3. Step 3: Cross multiply
    358,866.40x = 538,040.40 × 201,143.20
  4. Step 4: Simplify right side
    358,866.40x = 108,223,167,785.28
  5. Step 5: Solve for x
    x = 108,223,167,785.28/358,866.40
  6. Step 6: Final answer
    x = 301,569.52

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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.