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Finding the Fourth Proportional to 358,791.66, 538,213.68 and 145,457.10

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Solution

The fourth proportional to 358,791.66, 538,213.68 and 145,457.10 is: 218,196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,791.66 : 538,213.68 = 145,457.10 : x
  2. Step 2: Convert to fraction form
    358,791.66/538,213.68 = 145,457.10/x
  3. Step 3: Cross multiply
    358,791.66x = 538,213.68 × 145,457.10
  4. Step 4: Simplify right side
    358,791.66x = 78,287,001,073.13
  5. Step 5: Solve for x
    x = 78,287,001,073.13/358,791.66
  6. Step 6: Final answer
    x = 218,196.27

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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.