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Finding the Fourth Proportional to 358,781.40, 538,172.10 and 209,190.60

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Solution

The fourth proportional to 358,781.40, 538,172.10 and 209,190.60 is: 313,785.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,781.40 : 538,172.10 = 209,190.60 : x
  2. Step 2: Convert to fraction form
    358,781.40/538,172.10 = 209,190.60/x
  3. Step 3: Cross multiply
    358,781.40x = 538,172.10 × 209,190.60
  4. Step 4: Simplify right side
    358,781.40x = 112,580,544,502.26
  5. Step 5: Solve for x
    x = 112,580,544,502.26/358,781.40
  6. Step 6: Final answer
    x = 313,785.90

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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.