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Finding the Fourth Proportional to 358,477.60, 538,105.20 and 201,013.60

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Solution

The fourth proportional to 358,477.60, 538,105.20 and 201,013.60 is: 301,738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,477.60 : 538,105.20 = 201,013.60 : x
  2. Step 2: Convert to fraction form
    358,477.60/538,105.20 = 201,013.60/x
  3. Step 3: Cross multiply
    358,477.60x = 538,105.20 × 201,013.60
  4. Step 4: Simplify right side
    358,477.60x = 108,166,463,430.72
  5. Step 5: Solve for x
    x = 108,166,463,430.72/358,477.60
  6. Step 6: Final answer
    x = 301,738.42

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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.